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Finding the Third Proportional to 229,326.19 and 495,487.13

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Solution

The third proportional to 229,326.19 and 495,487.13 is: 1,070,560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,326.19 : 495,487.13 = 495,487.13 : x
  2. Step 2: Convert to fraction form
    229,326.19/495,487.13 = 495,487.13/x
  3. Step 3: Cross multiply
    229,326.19x = 495,487.13 × 495,487.13
  4. Step 4: Simplify right side
    229,326.19x = 245,507,491,040.77
  5. Step 5: Solve for x
    x = 245,507,491,040.77/229,326.19
  6. Step 6: Final answer
    x = 1,070,560.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.