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Finding the Third Proportional to 497,569 and 745,572

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Solution

The third proportional to 497,569 and 745,572 is: 1,117,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,569 : 745,572 = 745,572 : x
  2. Step 2: Convert to fraction form
    497,569/745,572 = 745,572/x
  3. Step 3: Cross multiply
    497,569x = 745,572 × 745,572
  4. Step 4: Simplify right side
    497,569x = 555,877,607,184
  5. Step 5: Solve for x
    x = 555,877,607,184/497,569
  6. Step 6: Final answer
    x = 1,117,186.98

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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.