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Finding the Third Proportional to 712,808 and 942,204

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Solution

The third proportional to 712,808 and 942,204 is: 1,245,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,808 : 942,204 = 942,204 : x
  2. Step 2: Convert to fraction form
    712,808/942,204 = 942,204/x
  3. Step 3: Cross multiply
    712,808x = 942,204 × 942,204
  4. Step 4: Simplify right side
    712,808x = 887,748,377,616
  5. Step 5: Solve for x
    x = 887,748,377,616/712,808
  6. Step 6: Final answer
    x = 1,245,424.26

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.