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Finding the Third Proportional to 257,944.50 and 392,445

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Solution

The third proportional to 257,944.50 and 392,445 is: 597,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,944.50 : 392,445 = 392,445 : x
  2. Step 2: Convert to fraction form
    257,944.50/392,445 = 392,445/x
  3. Step 3: Cross multiply
    257,944.50x = 392,445 × 392,445
  4. Step 4: Simplify right side
    257,944.50x = 154,013,078,025
  5. Step 5: Solve for x
    x = 154,013,078,025/257,944.50
  6. Step 6: Final answer
    x = 597,078.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.