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Finding the Third Proportional to 354,880 and 564,376

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Solution

The third proportional to 354,880 and 564,376 is: 897,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,880 : 564,376 = 564,376 : x
  2. Step 2: Convert to fraction form
    354,880/564,376 = 564,376/x
  3. Step 3: Cross multiply
    354,880x = 564,376 × 564,376
  4. Step 4: Simplify right side
    354,880x = 318,520,269,376
  5. Step 5: Solve for x
    x = 318,520,269,376/354,880
  6. Step 6: Final answer
    x = 897,543.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.