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Finding the Third Proportional to 229,851 and 487,346

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Solution

The third proportional to 229,851 and 487,346 is: 1,033,304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,851 : 487,346 = 487,346 : x
  2. Step 2: Convert to fraction form
    229,851/487,346 = 487,346/x
  3. Step 3: Cross multiply
    229,851x = 487,346 × 487,346
  4. Step 4: Simplify right side
    229,851x = 237,506,123,716
  5. Step 5: Solve for x
    x = 237,506,123,716/229,851
  6. Step 6: Final answer
    x = 1,033,304.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.