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Finding the Third Proportional to 229,406 and 495,712

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Solution

The third proportional to 229,406 and 495,712 is: 1,071,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,406 : 495,712 = 495,712 : x
  2. Step 2: Convert to fraction form
    229,406/495,712 = 495,712/x
  3. Step 3: Cross multiply
    229,406x = 495,712 × 495,712
  4. Step 4: Simplify right side
    229,406x = 245,730,386,944
  5. Step 5: Solve for x
    x = 245,730,386,944/229,406
  6. Step 6: Final answer
    x = 1,071,159.37

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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.