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Finding the Third Proportional to 357,694 and 501,342

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Solution

The third proportional to 357,694 and 501,342 is: 702,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,694 : 501,342 = 501,342 : x
  2. Step 2: Convert to fraction form
    357,694/501,342 = 501,342/x
  3. Step 3: Cross multiply
    357,694x = 501,342 × 501,342
  4. Step 4: Simplify right side
    357,694x = 251,343,800,964
  5. Step 5: Solve for x
    x = 251,343,800,964/357,694
  6. Step 6: Final answer
    x = 702,678.27

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