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Finding the Third Proportional to 506,324.25 and 1,195,225.88

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Solution

The third proportional to 506,324.25 and 1,195,225.88 is: 2,821,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,324.25 : 1,195,225.88 = 1,195,225.88 : x
  2. Step 2: Convert to fraction form
    506,324.25/1,195,225.88 = 1,195,225.88/x
  3. Step 3: Cross multiply
    506,324.25x = 1,195,225.88 × 1,195,225.88
  4. Step 4: Simplify right side
    506,324.25x = 1,428,564,892,269.52
  5. Step 5: Solve for x
    x = 1,428,564,892,269.52/506,324.25
  6. Step 6: Final answer
    x = 2,821,442.77

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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.