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Finding the Third Proportional to 395,141.50 and 564,648

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Solution

The third proportional to 395,141.50 and 564,648 is: 806,868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,141.50 : 564,648 = 564,648 : x
  2. Step 2: Convert to fraction form
    395,141.50/564,648 = 564,648/x
  3. Step 3: Cross multiply
    395,141.50x = 564,648 × 564,648
  4. Step 4: Simplify right side
    395,141.50x = 318,827,363,904
  5. Step 5: Solve for x
    x = 318,827,363,904/395,141.50
  6. Step 6: Final answer
    x = 806,868.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.