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Finding the Third Proportional to 506,488.13 and 1,195,585.50

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Solution

The third proportional to 506,488.13 and 1,195,585.50 is: 2,822,227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,488.13 : 1,195,585.50 = 1,195,585.50 : x
  2. Step 2: Convert to fraction form
    506,488.13/1,195,585.50 = 1,195,585.50/x
  3. Step 3: Cross multiply
    506,488.13x = 1,195,585.50 × 1,195,585.50
  4. Step 4: Simplify right side
    506,488.13x = 1,429,424,687,810.25
  5. Step 5: Solve for x
    x = 1,429,424,687,810.25/506,488.13
  6. Step 6: Final answer
    x = 2,822,227.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.