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Finding the Third Proportional to 561,439 and 862,983.50

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Solution

The third proportional to 561,439 and 862,983.50 is: 1,326,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,439 : 862,983.50 = 862,983.50 : x
  2. Step 2: Convert to fraction form
    561,439/862,983.50 = 862,983.50/x
  3. Step 3: Cross multiply
    561,439x = 862,983.50 × 862,983.50
  4. Step 4: Simplify right side
    561,439x = 744,740,521,272.25
  5. Step 5: Solve for x
    x = 744,740,521,272.25/561,439
  6. Step 6: Final answer
    x = 1,326,485.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.