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Finding the Third Proportional to 229,368.38 and 539,710.31

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Solution

The third proportional to 229,368.38 and 539,710.31 is: 1,269,953.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,368.38 : 539,710.31 = 539,710.31 : x
  2. Step 2: Convert to fraction form
    229,368.38/539,710.31 = 539,710.31/x
  3. Step 3: Cross multiply
    229,368.38x = 539,710.31 × 539,710.31
  4. Step 4: Simplify right side
    229,368.38x = 291,287,221,418.85
  5. Step 5: Solve for x
    x = 291,287,221,418.85/229,368.38
  6. Step 6: Final answer
    x = 1,269,953.72

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.