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Finding the Third Proportional to 377,713.13 and 819,298.13

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Solution

The third proportional to 377,713.13 and 819,298.13 is: 1,777,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,713.13 : 819,298.13 = 819,298.13 : x
  2. Step 2: Convert to fraction form
    377,713.13/819,298.13 = 819,298.13/x
  3. Step 3: Cross multiply
    377,713.13x = 819,298.13 × 819,298.13
  4. Step 4: Simplify right side
    377,713.13x = 671,249,417,628.52
  5. Step 5: Solve for x
    x = 671,249,417,628.52/377,713.13
  6. Step 6: Final answer
    x = 1,777,140.83

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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.