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Finding the Third Proportional to 632,128 and 894,432

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Solution

The third proportional to 632,128 and 894,432 is: 1,265,580.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,128 : 894,432 = 894,432 : x
  2. Step 2: Convert to fraction form
    632,128/894,432 = 894,432/x
  3. Step 3: Cross multiply
    632,128x = 894,432 × 894,432
  4. Step 4: Simplify right side
    632,128x = 800,008,602,624
  5. Step 5: Solve for x
    x = 800,008,602,624/632,128
  6. Step 6: Final answer
    x = 1,265,580.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.