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Finding the Third Proportional to 230,654 and 499,216

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Solution

The third proportional to 230,654 and 499,216 is: 1,080,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,654 : 499,216 = 499,216 : x
  2. Step 2: Convert to fraction form
    230,654/499,216 = 499,216/x
  3. Step 3: Cross multiply
    230,654x = 499,216 × 499,216
  4. Step 4: Simplify right side
    230,654x = 249,216,614,656
  5. Step 5: Solve for x
    x = 249,216,614,656/230,654
  6. Step 6: Final answer
    x = 1,080,478.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.