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Finding the Third Proportional to 467,960 and 711,786

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Solution

The third proportional to 467,960 and 711,786 is: 1,082,655.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,960 : 711,786 = 711,786 : x
  2. Step 2: Convert to fraction form
    467,960/711,786 = 711,786/x
  3. Step 3: Cross multiply
    467,960x = 711,786 × 711,786
  4. Step 4: Simplify right side
    467,960x = 506,639,309,796
  5. Step 5: Solve for x
    x = 506,639,309,796/467,960
  6. Step 6: Final answer
    x = 1,082,655.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.