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Finding the Third Proportional to 332,655 and 712,938

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Solution

The third proportional to 332,655 and 712,938 is: 1,527,951.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,655 : 712,938 = 712,938 : x
  2. Step 2: Convert to fraction form
    332,655/712,938 = 712,938/x
  3. Step 3: Cross multiply
    332,655x = 712,938 × 712,938
  4. Step 4: Simplify right side
    332,655x = 508,280,591,844
  5. Step 5: Solve for x
    x = 508,280,591,844/332,655
  6. Step 6: Final answer
    x = 1,527,951.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.