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Finding the Third Proportional to 527,974 and 791,978.50

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Solution

The third proportional to 527,974 and 791,978.50 is: 1,187,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,974 : 791,978.50 = 791,978.50 : x
  2. Step 2: Convert to fraction form
    527,974/791,978.50 = 791,978.50/x
  3. Step 3: Cross multiply
    527,974x = 791,978.50 × 791,978.50
  4. Step 4: Simplify right side
    527,974x = 627,229,944,462.25
  5. Step 5: Solve for x
    x = 627,229,944,462.25/527,974
  6. Step 6: Final answer
    x = 1,187,994.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.