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Finding the Third Proportional to 497,502.38 and 750,415.13

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Solution

The third proportional to 497,502.38 and 750,415.13 is: 1,131,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,502.38 : 750,415.13 = 750,415.13 : x
  2. Step 2: Convert to fraction form
    497,502.38/750,415.13 = 750,415.13/x
  3. Step 3: Cross multiply
    497,502.38x = 750,415.13 × 750,415.13
  4. Step 4: Simplify right side
    497,502.38x = 563,122,859,828.77
  5. Step 5: Solve for x
    x = 563,122,859,828.77/497,502.38
  6. Step 6: Final answer
    x = 1,131,899.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.