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Finding the Third Proportional to 465,494 and 711,773

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Solution

The third proportional to 465,494 and 711,773 is: 1,088,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,494 : 711,773 = 711,773 : x
  2. Step 2: Convert to fraction form
    465,494/711,773 = 711,773/x
  3. Step 3: Cross multiply
    465,494x = 711,773 × 711,773
  4. Step 4: Simplify right side
    465,494x = 506,620,803,529
  5. Step 5: Solve for x
    x = 506,620,803,529/465,494
  6. Step 6: Final answer
    x = 1,088,350.88

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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.