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Finding the Third Proportional to 302,844,262.50 and 657,374,285.25

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Solution

The third proportional to 302,844,262.50 and 657,374,285.25 is: 1,426,941,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,844,262.50 : 657,374,285.25 = 657,374,285.25 : x
  2. Step 2: Convert to fraction form
    302,844,262.50/657,374,285.25 = 657,374,285.25/x
  3. Step 3: Cross multiply
    302,844,262.50x = 657,374,285.25 × 657,374,285.25
  4. Step 4: Simplify right side
    302,844,262.50x = 432,140,950,907,948,352
  5. Step 5: Solve for x
    x = 432,140,950,907,948,352/302,844,262.50
  6. Step 6: Final answer
    x = 1,426,941,185.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.