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Finding the Third Proportional to 497,642 and 750,588

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Solution

The third proportional to 497,642 and 750,588 is: 1,132,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,642 : 750,588 = 750,588 : x
  2. Step 2: Convert to fraction form
    497,642/750,588 = 750,588/x
  3. Step 3: Cross multiply
    497,642x = 750,588 × 750,588
  4. Step 4: Simplify right side
    497,642x = 563,382,345,744
  5. Step 5: Solve for x
    x = 563,382,345,744/497,642
  6. Step 6: Final answer
    x = 1,132,103.69

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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.