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Finding the Third Proportional to 497,567.25 and 745,569

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Solution

The third proportional to 497,567.25 and 745,569 is: 1,117,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,567.25 : 745,569 = 745,569 : x
  2. Step 2: Convert to fraction form
    497,567.25/745,569 = 745,569/x
  3. Step 3: Cross multiply
    497,567.25x = 745,569 × 745,569
  4. Step 4: Simplify right side
    497,567.25x = 555,873,133,761
  5. Step 5: Solve for x
    x = 555,873,133,761/497,567.25
  6. Step 6: Final answer
    x = 1,117,181.92

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Why These Related Problems?

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