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Finding the Third Proportional to 232,902 and 499,008

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Solution

The third proportional to 232,902 and 499,008 is: 1,069,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,902 : 499,008 = 499,008 : x
  2. Step 2: Convert to fraction form
    232,902/499,008 = 499,008/x
  3. Step 3: Cross multiply
    232,902x = 499,008 × 499,008
  4. Step 4: Simplify right side
    232,902x = 249,008,984,064
  5. Step 5: Solve for x
    x = 249,008,984,064/232,902
  6. Step 6: Final answer
    x = 1,069,157.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.