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Finding the Third Proportional to 486,654 and 650,964

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Solution

The third proportional to 486,654 and 650,964 is: 870,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,654 : 650,964 = 650,964 : x
  2. Step 2: Convert to fraction form
    486,654/650,964 = 650,964/x
  3. Step 3: Cross multiply
    486,654x = 650,964 × 650,964
  4. Step 4: Simplify right side
    486,654x = 423,754,129,296
  5. Step 5: Solve for x
    x = 423,754,129,296/486,654
  6. Step 6: Final answer
    x = 870,750.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.