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Finding the Third Proportional to 564,396.75 and 874,276.88

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Solution

The third proportional to 564,396.75 and 874,276.88 is: 1,354,295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,396.75 : 874,276.88 = 874,276.88 : x
  2. Step 2: Convert to fraction form
    564,396.75/874,276.88 = 874,276.88/x
  3. Step 3: Cross multiply
    564,396.75x = 874,276.88 × 874,276.88
  4. Step 4: Simplify right side
    564,396.75x = 764,360,054,159.77
  5. Step 5: Solve for x
    x = 764,360,054,159.77/564,396.75
  6. Step 6: Final answer
    x = 1,354,295.63

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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.