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Finding the Third Proportional to 377,025 and 819,498

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Solution

The third proportional to 377,025 and 819,498 is: 1,781,253.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,025 : 819,498 = 819,498 : x
  2. Step 2: Convert to fraction form
    377,025/819,498 = 819,498/x
  3. Step 3: Cross multiply
    377,025x = 819,498 × 819,498
  4. Step 4: Simplify right side
    377,025x = 671,576,972,004
  5. Step 5: Solve for x
    x = 671,576,972,004/377,025
  6. Step 6: Final answer
    x = 1,781,253.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.