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Finding the Third Proportional to 281,032 and 499,688

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Solution

The third proportional to 281,032 and 499,688 is: 888,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,032 : 499,688 = 499,688 : x
  2. Step 2: Convert to fraction form
    281,032/499,688 = 499,688/x
  3. Step 3: Cross multiply
    281,032x = 499,688 × 499,688
  4. Step 4: Simplify right side
    281,032x = 249,688,097,344
  5. Step 5: Solve for x
    x = 249,688,097,344/281,032
  6. Step 6: Final answer
    x = 888,468.56

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.