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Finding the Third Proportional to 650,276 and 863,066

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Solution

The third proportional to 650,276 and 863,066 is: 1,145,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,276 : 863,066 = 863,066 : x
  2. Step 2: Convert to fraction form
    650,276/863,066 = 863,066/x
  3. Step 3: Cross multiply
    650,276x = 863,066 × 863,066
  4. Step 4: Simplify right side
    650,276x = 744,882,920,356
  5. Step 5: Solve for x
    x = 744,882,920,356/650,276
  6. Step 6: Final answer
    x = 1,145,487.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.