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Finding the Third Proportional to 475,650 and 696,408

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Solution

The third proportional to 475,650 and 696,408 is: 1,019,623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,650 : 696,408 = 696,408 : x
  2. Step 2: Convert to fraction form
    475,650/696,408 = 696,408/x
  3. Step 3: Cross multiply
    475,650x = 696,408 × 696,408
  4. Step 4: Simplify right side
    475,650x = 484,984,102,464
  5. Step 5: Solve for x
    x = 484,984,102,464/475,650
  6. Step 6: Final answer
    x = 1,019,623.89

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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.