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Finding the Third Proportional to 716,160 and 969,192

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Solution

The third proportional to 716,160 and 969,192 is: 1,311,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,160 : 969,192 = 969,192 : x
  2. Step 2: Convert to fraction form
    716,160/969,192 = 969,192/x
  3. Step 3: Cross multiply
    716,160x = 969,192 × 969,192
  4. Step 4: Simplify right side
    716,160x = 939,333,132,864
  5. Step 5: Solve for x
    x = 939,333,132,864/716,160
  6. Step 6: Final answer
    x = 1,311,624.68

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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.