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Finding the Third Proportional to 229,508 and 497,146

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Solution

The third proportional to 229,508 and 497,146 is: 1,076,886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,508 : 497,146 = 497,146 : x
  2. Step 2: Convert to fraction form
    229,508/497,146 = 497,146/x
  3. Step 3: Cross multiply
    229,508x = 497,146 × 497,146
  4. Step 4: Simplify right side
    229,508x = 247,154,145,316
  5. Step 5: Solve for x
    x = 247,154,145,316/229,508
  6. Step 6: Final answer
    x = 1,076,886.84

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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.