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Finding the Third Proportional to 383,552 and 807,541

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Solution

The third proportional to 383,552 and 807,541 is: 1,700,219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,552 : 807,541 = 807,541 : x
  2. Step 2: Convert to fraction form
    383,552/807,541 = 807,541/x
  3. Step 3: Cross multiply
    383,552x = 807,541 × 807,541
  4. Step 4: Simplify right side
    383,552x = 652,122,466,681
  5. Step 5: Solve for x
    x = 652,122,466,681/383,552
  6. Step 6: Final answer
    x = 1,700,219.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.