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Finding the Third Proportional to 524,905.31 and 1,144,671.75

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Solution

The third proportional to 524,905.31 and 1,144,671.75 is: 2,496,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,905.31 : 1,144,671.75 = 1,144,671.75 : x
  2. Step 2: Convert to fraction form
    524,905.31/1,144,671.75 = 1,144,671.75/x
  3. Step 3: Cross multiply
    524,905.31x = 1,144,671.75 × 1,144,671.75
  4. Step 4: Simplify right side
    524,905.31x = 1,310,273,415,248.06
  5. Step 5: Solve for x
    x = 1,310,273,415,248.06/524,905.31
  6. Step 6: Final answer
    x = 2,496,209.10

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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.