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Finding the Third Proportional to 288,734 and 595,776

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Solution

The third proportional to 288,734 and 595,776 is: 1,229,328.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,734 : 595,776 = 595,776 : x
  2. Step 2: Convert to fraction form
    288,734/595,776 = 595,776/x
  3. Step 3: Cross multiply
    288,734x = 595,776 × 595,776
  4. Step 4: Simplify right side
    288,734x = 354,949,042,176
  5. Step 5: Solve for x
    x = 354,949,042,176/288,734
  6. Step 6: Final answer
    x = 1,229,328.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.