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Finding the Third Proportional to 347,572 and 734,552

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Solution

The third proportional to 347,572 and 734,552 is: 1,552,388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,572 : 734,552 = 734,552 : x
  2. Step 2: Convert to fraction form
    347,572/734,552 = 734,552/x
  3. Step 3: Cross multiply
    347,572x = 734,552 × 734,552
  4. Step 4: Simplify right side
    347,572x = 539,566,640,704
  5. Step 5: Solve for x
    x = 539,566,640,704/347,572
  6. Step 6: Final answer
    x = 1,552,388.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.