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Finding the Third Proportional to 564,043.50 and 880,368.75

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Solution

The third proportional to 564,043.50 and 880,368.75 is: 1,374,094.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,043.50 : 880,368.75 = 880,368.75 : x
  2. Step 2: Convert to fraction form
    564,043.50/880,368.75 = 880,368.75/x
  3. Step 3: Cross multiply
    564,043.50x = 880,368.75 × 880,368.75
  4. Step 4: Simplify right side
    564,043.50x = 775,049,135,976.56
  5. Step 5: Solve for x
    x = 775,049,135,976.56/564,043.50
  6. Step 6: Final answer
    x = 1,374,094.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.