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Finding the Third Proportional to 229,461 and 497,051

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Solution

The third proportional to 229,461 and 497,051 is: 1,076,695.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,461 : 497,051 = 497,051 : x
  2. Step 2: Convert to fraction form
    229,461/497,051 = 497,051/x
  3. Step 3: Cross multiply
    229,461x = 497,051 × 497,051
  4. Step 4: Simplify right side
    229,461x = 247,059,696,601
  5. Step 5: Solve for x
    x = 247,059,696,601/229,461
  6. Step 6: Final answer
    x = 1,076,695.81

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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.