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Finding the Third Proportional to 280,328.98 and 597,358.55

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Solution

The third proportional to 280,328.98 and 597,358.55 is: 1,272,923.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,328.98 : 597,358.55 = 597,358.55 : x
  2. Step 2: Convert to fraction form
    280,328.98/597,358.55 = 597,358.55/x
  3. Step 3: Cross multiply
    280,328.98x = 597,358.55 × 597,358.55
  4. Step 4: Simplify right side
    280,328.98x = 356,837,233,524.61
  5. Step 5: Solve for x
    x = 356,837,233,524.61/280,328.98
  6. Step 6: Final answer
    x = 1,272,923.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.