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Finding the Third Proportional to 443,426 and 676,210

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Solution

The third proportional to 443,426 and 676,210 is: 1,031,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,426 : 676,210 = 676,210 : x
  2. Step 2: Convert to fraction form
    443,426/676,210 = 676,210/x
  3. Step 3: Cross multiply
    443,426x = 676,210 × 676,210
  4. Step 4: Simplify right side
    443,426x = 457,259,964,100
  5. Step 5: Solve for x
    x = 457,259,964,100/443,426
  6. Step 6: Final answer
    x = 1,031,197.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.