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Finding the Third Proportional to 475,654 and 696,414

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Solution

The third proportional to 475,654 and 696,414 is: 1,019,632.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,654 : 696,414 = 696,414 : x
  2. Step 2: Convert to fraction form
    475,654/696,414 = 696,414/x
  3. Step 3: Cross multiply
    475,654x = 696,414 × 696,414
  4. Step 4: Simplify right side
    475,654x = 484,992,459,396
  5. Step 5: Solve for x
    x = 484,992,459,396/475,654
  6. Step 6: Final answer
    x = 1,019,632.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.