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Finding the Third Proportional to 472,581 and 717,609

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Solution

The third proportional to 472,581 and 717,609 is: 1,089,681.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,581 : 717,609 = 717,609 : x
  2. Step 2: Convert to fraction form
    472,581/717,609 = 717,609/x
  3. Step 3: Cross multiply
    472,581x = 717,609 × 717,609
  4. Step 4: Simplify right side
    472,581x = 514,962,676,881
  5. Step 5: Solve for x
    x = 514,962,676,881/472,581
  6. Step 6: Final answer
    x = 1,089,681.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.