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Finding the Third Proportional to 229,240.13 and 497,865.38

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Solution

The third proportional to 229,240.13 and 497,865.38 is: 1,081,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,240.13 : 497,865.38 = 497,865.38 : x
  2. Step 2: Convert to fraction form
    229,240.13/497,865.38 = 497,865.38/x
  3. Step 3: Cross multiply
    229,240.13x = 497,865.38 × 497,865.38
  4. Step 4: Simplify right side
    229,240.13x = 247,869,931,623.89
  5. Step 5: Solve for x
    x = 247,869,931,623.89/229,240.13
  6. Step 6: Final answer
    x = 1,081,267.65

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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.