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Finding the Third Proportional to 370,574 and 722,716

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Solution

The third proportional to 370,574 and 722,716 is: 1,409,484.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,574 : 722,716 = 722,716 : x
  2. Step 2: Convert to fraction form
    370,574/722,716 = 722,716/x
  3. Step 3: Cross multiply
    370,574x = 722,716 × 722,716
  4. Step 4: Simplify right side
    370,574x = 522,318,416,656
  5. Step 5: Solve for x
    x = 522,318,416,656/370,574
  6. Step 6: Final answer
    x = 1,409,484.79

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.