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Finding the Third Proportional to 354,000 and 560,820

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Solution

The third proportional to 354,000 and 560,820 is: 888,471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,000 : 560,820 = 560,820 : x
  2. Step 2: Convert to fraction form
    354,000/560,820 = 560,820/x
  3. Step 3: Cross multiply
    354,000x = 560,820 × 560,820
  4. Step 4: Simplify right side
    354,000x = 314,519,072,400
  5. Step 5: Solve for x
    x = 314,519,072,400/354,000
  6. Step 6: Final answer
    x = 888,471.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.