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Finding the Third Proportional to 357,637 and 501,302

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Solution

The third proportional to 357,637 and 501,302 is: 702,678.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,637 : 501,302 = 501,302 : x
  2. Step 2: Convert to fraction form
    357,637/501,302 = 501,302/x
  3. Step 3: Cross multiply
    357,637x = 501,302 × 501,302
  4. Step 4: Simplify right side
    357,637x = 251,303,695,204
  5. Step 5: Solve for x
    x = 251,303,695,204/357,637
  6. Step 6: Final answer
    x = 702,678.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.