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Finding the Third Proportional to 378,437.50 and 569,246

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Solution

The third proportional to 378,437.50 and 569,246 is: 856,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,437.50 : 569,246 = 569,246 : x
  2. Step 2: Convert to fraction form
    378,437.50/569,246 = 569,246/x
  3. Step 3: Cross multiply
    378,437.50x = 569,246 × 569,246
  4. Step 4: Simplify right side
    378,437.50x = 324,041,008,516
  5. Step 5: Solve for x
    x = 324,041,008,516/378,437.50
  6. Step 6: Final answer
    x = 856,260.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.