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Finding the Third Proportional to 271,440 and 536,065.50

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Solution

The third proportional to 271,440 and 536,065.50 is: 1,058,673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,440 : 536,065.50 = 536,065.50 : x
  2. Step 2: Convert to fraction form
    271,440/536,065.50 = 536,065.50/x
  3. Step 3: Cross multiply
    271,440x = 536,065.50 × 536,065.50
  4. Step 4: Simplify right side
    271,440x = 287,366,220,290.25
  5. Step 5: Solve for x
    x = 287,366,220,290.25/271,440
  6. Step 6: Final answer
    x = 1,058,673.08

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.