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Finding the Third Proportional to 205,045 and 443,776

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Solution

The third proportional to 205,045 and 443,776 is: 960,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,045 : 443,776 = 443,776 : x
  2. Step 2: Convert to fraction form
    205,045/443,776 = 443,776/x
  3. Step 3: Cross multiply
    205,045x = 443,776 × 443,776
  4. Step 4: Simplify right side
    205,045x = 196,937,138,176
  5. Step 5: Solve for x
    x = 196,937,138,176/205,045
  6. Step 6: Final answer
    x = 960,458.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.