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Finding the Third Proportional to 475,324 and 691,584

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Solution

The third proportional to 475,324 and 691,584 is: 1,006,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,324 : 691,584 = 691,584 : x
  2. Step 2: Convert to fraction form
    475,324/691,584 = 691,584/x
  3. Step 3: Cross multiply
    475,324x = 691,584 × 691,584
  4. Step 4: Simplify right side
    475,324x = 478,288,429,056
  5. Step 5: Solve for x
    x = 478,288,429,056/475,324
  6. Step 6: Final answer
    x = 1,006,236.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.