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Finding the Third Proportional to 712,909 and 968,516

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Solution

The third proportional to 712,909 and 968,516 is: 1,315,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,909 : 968,516 = 968,516 : x
  2. Step 2: Convert to fraction form
    712,909/968,516 = 968,516/x
  3. Step 3: Cross multiply
    712,909x = 968,516 × 968,516
  4. Step 4: Simplify right side
    712,909x = 938,023,242,256
  5. Step 5: Solve for x
    x = 938,023,242,256/712,909
  6. Step 6: Final answer
    x = 1,315,768.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.