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Finding the Third Proportional to 598,548 and 1,329,933.50

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Solution

The third proportional to 598,548 and 1,329,933.50 is: 2,955,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,548 : 1,329,933.50 = 1,329,933.50 : x
  2. Step 2: Convert to fraction form
    598,548/1,329,933.50 = 1,329,933.50/x
  3. Step 3: Cross multiply
    598,548x = 1,329,933.50 × 1,329,933.50
  4. Step 4: Simplify right side
    598,548x = 1,768,723,114,422.25
  5. Step 5: Solve for x
    x = 1,768,723,114,422.25/598,548
  6. Step 6: Final answer
    x = 2,955,023.01

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.