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Finding the Third Proportional to 257,536 and 378,596

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Solution

The third proportional to 257,536 and 378,596 is: 556,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,536 : 378,596 = 378,596 : x
  2. Step 2: Convert to fraction form
    257,536/378,596 = 378,596/x
  3. Step 3: Cross multiply
    257,536x = 378,596 × 378,596
  4. Step 4: Simplify right side
    257,536x = 143,334,931,216
  5. Step 5: Solve for x
    x = 143,334,931,216/257,536
  6. Step 6: Final answer
    x = 556,562.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.