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Finding the Third Proportional to 306,788 and 657,292

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Solution

The third proportional to 306,788 and 657,292 is: 1,408,245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,788 : 657,292 = 657,292 : x
  2. Step 2: Convert to fraction form
    306,788/657,292 = 657,292/x
  3. Step 3: Cross multiply
    306,788x = 657,292 × 657,292
  4. Step 4: Simplify right side
    306,788x = 432,032,773,264
  5. Step 5: Solve for x
    x = 432,032,773,264/306,788
  6. Step 6: Final answer
    x = 1,408,245.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.