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Finding the Third Proportional to 447,319.50 and 932,361

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Solution

The third proportional to 447,319.50 and 932,361 is: 1,943,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,319.50 : 932,361 = 932,361 : x
  2. Step 2: Convert to fraction form
    447,319.50/932,361 = 932,361/x
  3. Step 3: Cross multiply
    447,319.50x = 932,361 × 932,361
  4. Step 4: Simplify right side
    447,319.50x = 869,297,034,321
  5. Step 5: Solve for x
    x = 869,297,034,321/447,319.50
  6. Step 6: Final answer
    x = 1,943,347.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.