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Finding the Third Proportional to 302,829 and 637,009.50

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Solution

The third proportional to 302,829 and 637,009.50 is: 1,339,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,829 : 637,009.50 = 637,009.50 : x
  2. Step 2: Convert to fraction form
    302,829/637,009.50 = 637,009.50/x
  3. Step 3: Cross multiply
    302,829x = 637,009.50 × 637,009.50
  4. Step 4: Simplify right side
    302,829x = 405,781,103,090.25
  5. Step 5: Solve for x
    x = 405,781,103,090.25/302,829
  6. Step 6: Final answer
    x = 1,339,967.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.