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Finding the Third Proportional to 229,483 and 497,089

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Solution

The third proportional to 229,483 and 497,089 is: 1,076,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,483 : 497,089 = 497,089 : x
  2. Step 2: Convert to fraction form
    229,483/497,089 = 497,089/x
  3. Step 3: Cross multiply
    229,483x = 497,089 × 497,089
  4. Step 4: Simplify right side
    229,483x = 247,097,473,921
  5. Step 5: Solve for x
    x = 247,097,473,921/229,483
  6. Step 6: Final answer
    x = 1,076,757.21

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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.