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Finding the Third Proportional to 465,466 and 711,738

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Solution

The third proportional to 465,466 and 711,738 is: 1,088,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,466 : 711,738 = 711,738 : x
  2. Step 2: Convert to fraction form
    465,466/711,738 = 711,738/x
  3. Step 3: Cross multiply
    465,466x = 711,738 × 711,738
  4. Step 4: Simplify right side
    465,466x = 506,570,980,644
  5. Step 5: Solve for x
    x = 506,570,980,644/465,466
  6. Step 6: Final answer
    x = 1,088,309.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.