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Finding the Third Proportional to 429,632 and 631,296

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Solution

The third proportional to 429,632 and 631,296 is: 927,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,632 : 631,296 = 631,296 : x
  2. Step 2: Convert to fraction form
    429,632/631,296 = 631,296/x
  3. Step 3: Cross multiply
    429,632x = 631,296 × 631,296
  4. Step 4: Simplify right side
    429,632x = 398,534,639,616
  5. Step 5: Solve for x
    x = 398,534,639,616/429,632
  6. Step 6: Final answer
    x = 927,618.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.