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Finding the Third Proportional to 508,438 and 1,105,348.50

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Solution

The third proportional to 508,438 and 1,105,348.50 is: 2,403,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,438 : 1,105,348.50 = 1,105,348.50 : x
  2. Step 2: Convert to fraction form
    508,438/1,105,348.50 = 1,105,348.50/x
  3. Step 3: Cross multiply
    508,438x = 1,105,348.50 × 1,105,348.50
  4. Step 4: Simplify right side
    508,438x = 1,221,795,306,452.25
  5. Step 5: Solve for x
    x = 1,221,795,306,452.25/508,438
  6. Step 6: Final answer
    x = 2,403,036.96

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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.