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Finding the Third Proportional to 465,674 and 711,875

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Solution

The third proportional to 465,674 and 711,875 is: 1,088,242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,674 : 711,875 = 711,875 : x
  2. Step 2: Convert to fraction form
    465,674/711,875 = 711,875/x
  3. Step 3: Cross multiply
    465,674x = 711,875 × 711,875
  4. Step 4: Simplify right side
    465,674x = 506,766,015,625
  5. Step 5: Solve for x
    x = 506,766,015,625/465,674
  6. Step 6: Final answer
    x = 1,088,242.02

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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.