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Finding the Third Proportional to 226,248 and 487,464

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Solution

The third proportional to 226,248 and 487,464 is: 1,050,268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,248 : 487,464 = 487,464 : x
  2. Step 2: Convert to fraction form
    226,248/487,464 = 487,464/x
  3. Step 3: Cross multiply
    226,248x = 487,464 × 487,464
  4. Step 4: Simplify right side
    226,248x = 237,621,151,296
  5. Step 5: Solve for x
    x = 237,621,151,296/226,248
  6. Step 6: Final answer
    x = 1,050,268.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.