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Finding the Third Proportional to 281,444.63 and 424,612.13

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Solution

The third proportional to 281,444.63 and 424,612.13 is: 640,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,444.63 : 424,612.13 = 424,612.13 : x
  2. Step 2: Convert to fraction form
    281,444.63/424,612.13 = 424,612.13/x
  3. Step 3: Cross multiply
    281,444.63x = 424,612.13 × 424,612.13
  4. Step 4: Simplify right side
    281,444.63x = 180,295,456,697.02
  5. Step 5: Solve for x
    x = 180,295,456,697.02/281,444.63
  6. Step 6: Final answer
    x = 640,607.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.