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Finding the Third Proportional to 443,085.19 and 488,764.13

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Solution

The third proportional to 443,085.19 and 488,764.13 is: 539,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,085.19 : 488,764.13 = 488,764.13 : x
  2. Step 2: Convert to fraction form
    443,085.19/488,764.13 = 488,764.13/x
  3. Step 3: Cross multiply
    443,085.19x = 488,764.13 × 488,764.13
  4. Step 4: Simplify right side
    443,085.19x = 238,890,369,887.02
  5. Step 5: Solve for x
    x = 238,890,369,887.02/443,085.19
  6. Step 6: Final answer
    x = 539,152.24

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.