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Finding the Third Proportional to 501,489 and 733,029

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Solution

The third proportional to 501,489 and 733,029 is: 1,071,472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,489 : 733,029 = 733,029 : x
  2. Step 2: Convert to fraction form
    501,489/733,029 = 733,029/x
  3. Step 3: Cross multiply
    501,489x = 733,029 × 733,029
  4. Step 4: Simplify right side
    501,489x = 537,331,514,841
  5. Step 5: Solve for x
    x = 537,331,514,841/501,489
  6. Step 6: Final answer
    x = 1,071,472.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.