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Finding the Third Proportional to 567,624 and 872,738

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Solution

The third proportional to 567,624 and 872,738 is: 1,341,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,624 : 872,738 = 872,738 : x
  2. Step 2: Convert to fraction form
    567,624/872,738 = 872,738/x
  3. Step 3: Cross multiply
    567,624x = 872,738 × 872,738
  4. Step 4: Simplify right side
    567,624x = 761,671,616,644
  5. Step 5: Solve for x
    x = 761,671,616,644/567,624
  6. Step 6: Final answer
    x = 1,341,859.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.