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Finding the Third Proportional to 564,348.75 and 874,198.50

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Solution

The third proportional to 564,348.75 and 874,198.50 is: 1,354,168.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,348.75 : 874,198.50 = 874,198.50 : x
  2. Step 2: Convert to fraction form
    564,348.75/874,198.50 = 874,198.50/x
  3. Step 3: Cross multiply
    564,348.75x = 874,198.50 × 874,198.50
  4. Step 4: Simplify right side
    564,348.75x = 764,223,017,402.25
  5. Step 5: Solve for x
    x = 764,223,017,402.25/564,348.75
  6. Step 6: Final answer
    x = 1,354,168.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.