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Finding the Third Proportional to 345,228 and 466,428

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Solution

The third proportional to 345,228 and 466,428 is: 630,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,228 : 466,428 = 466,428 : x
  2. Step 2: Convert to fraction form
    345,228/466,428 = 466,428/x
  3. Step 3: Cross multiply
    345,228x = 466,428 × 466,428
  4. Step 4: Simplify right side
    345,228x = 217,555,079,184
  5. Step 5: Solve for x
    x = 217,555,079,184/345,228
  6. Step 6: Final answer
    x = 630,177.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.