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Finding the Third Proportional to 229,442 and 492,098.13

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Solution

The third proportional to 229,442 and 492,098.13 is: 1,055,432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,442 : 492,098.13 = 492,098.13 : x
  2. Step 2: Convert to fraction form
    229,442/492,098.13 = 492,098.13/x
  3. Step 3: Cross multiply
    229,442x = 492,098.13 × 492,098.13
  4. Step 4: Simplify right side
    229,442x = 242,160,564,628.52
  5. Step 5: Solve for x
    x = 242,160,564,628.52/229,442
  6. Step 6: Final answer
    x = 1,055,432.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.