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Finding the Third Proportional to 229,475 and 497,086

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Solution

The third proportional to 229,475 and 497,086 is: 1,076,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,475 : 497,086 = 497,086 : x
  2. Step 2: Convert to fraction form
    229,475/497,086 = 497,086/x
  3. Step 3: Cross multiply
    229,475x = 497,086 × 497,086
  4. Step 4: Simplify right side
    229,475x = 247,094,491,396
  5. Step 5: Solve for x
    x = 247,094,491,396/229,475
  6. Step 6: Final answer
    x = 1,076,781.75

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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.