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Finding the Third Proportional to 688,436 and 991,540

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Solution

The third proportional to 688,436 and 991,540 is: 1,428,094.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,436 : 991,540 = 991,540 : x
  2. Step 2: Convert to fraction form
    688,436/991,540 = 991,540/x
  3. Step 3: Cross multiply
    688,436x = 991,540 × 991,540
  4. Step 4: Simplify right side
    688,436x = 983,151,571,600
  5. Step 5: Solve for x
    x = 983,151,571,600/688,436
  6. Step 6: Final answer
    x = 1,428,094.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.