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Finding the Third Proportional to 443,359 and 687,910

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Solution

The third proportional to 443,359 and 687,910 is: 1,067,352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,359 : 687,910 = 687,910 : x
  2. Step 2: Convert to fraction form
    443,359/687,910 = 687,910/x
  3. Step 3: Cross multiply
    443,359x = 687,910 × 687,910
  4. Step 4: Simplify right side
    443,359x = 473,220,168,100
  5. Step 5: Solve for x
    x = 473,220,168,100/443,359
  6. Step 6: Final answer
    x = 1,067,352.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.