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Finding the Third Proportional to 501,942 and 754,031

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Solution

The third proportional to 501,942 and 754,031 is: 1,132,725.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,942 : 754,031 = 754,031 : x
  2. Step 2: Convert to fraction form
    501,942/754,031 = 754,031/x
  3. Step 3: Cross multiply
    501,942x = 754,031 × 754,031
  4. Step 4: Simplify right side
    501,942x = 568,562,748,961
  5. Step 5: Solve for x
    x = 568,562,748,961/501,942
  6. Step 6: Final answer
    x = 1,132,725.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.