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Finding the Third Proportional to 432,280.13 and 622,630.13

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Solution

The third proportional to 432,280.13 and 622,630.13 is: 896,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,280.13 : 622,630.13 = 622,630.13 : x
  2. Step 2: Convert to fraction form
    432,280.13/622,630.13 = 622,630.13/x
  3. Step 3: Cross multiply
    432,280.13x = 622,630.13 × 622,630.13
  4. Step 4: Simplify right side
    432,280.13x = 387,668,272,557.52
  5. Step 5: Solve for x
    x = 387,668,272,557.52/432,280.13
  6. Step 6: Final answer
    x = 896,798.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.