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Finding the Third Proportional to 243,405.84 and 529,671.66

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Solution

The third proportional to 243,405.84 and 529,671.66 is: 1,152,610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,405.84 : 529,671.66 = 529,671.66 : x
  2. Step 2: Convert to fraction form
    243,405.84/529,671.66 = 529,671.66/x
  3. Step 3: Cross multiply
    243,405.84x = 529,671.66 × 529,671.66
  4. Step 4: Simplify right side
    243,405.84x = 280,552,063,434.62
  5. Step 5: Solve for x
    x = 280,552,063,434.62/243,405.84
  6. Step 6: Final answer
    x = 1,152,610.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.