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Finding the Third Proportional to 229,130 and 497,464

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Solution

The third proportional to 229,130 and 497,464 is: 1,080,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,130 : 497,464 = 497,464 : x
  2. Step 2: Convert to fraction form
    229,130/497,464 = 497,464/x
  3. Step 3: Cross multiply
    229,130x = 497,464 × 497,464
  4. Step 4: Simplify right side
    229,130x = 247,470,431,296
  5. Step 5: Solve for x
    x = 247,470,431,296/229,130
  6. Step 6: Final answer
    x = 1,080,043.78

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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.