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Finding the Third Proportional to 443,394 and 687,862.13

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Solution

The third proportional to 443,394 and 687,862.13 is: 1,067,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,394 : 687,862.13 = 687,862.13 : x
  2. Step 2: Convert to fraction form
    443,394/687,862.13 = 687,862.13/x
  3. Step 3: Cross multiply
    443,394x = 687,862.13 × 687,862.13
  4. Step 4: Simplify right side
    443,394x = 473,154,303,009.52
  5. Step 5: Solve for x
    x = 473,154,303,009.52/443,394
  6. Step 6: Final answer
    x = 1,067,119.32

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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.