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Finding the Third Proportional to 229,484 and 497,091

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Solution

The third proportional to 229,484 and 497,091 is: 1,076,761.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,484 : 497,091 = 497,091 : x
  2. Step 2: Convert to fraction form
    229,484/497,091 = 497,091/x
  3. Step 3: Cross multiply
    229,484x = 497,091 × 497,091
  4. Step 4: Simplify right side
    229,484x = 247,099,462,281
  5. Step 5: Solve for x
    x = 247,099,462,281/229,484
  6. Step 6: Final answer
    x = 1,076,761.18

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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.