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Finding the Third Proportional to 275,280 and 402,297.50

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Solution

The third proportional to 275,280 and 402,297.50 is: 587,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280 : 402,297.50 = 402,297.50 : x
  2. Step 2: Convert to fraction form
    275,280/402,297.50 = 402,297.50/x
  3. Step 3: Cross multiply
    275,280x = 402,297.50 × 402,297.50
  4. Step 4: Simplify right side
    275,280x = 161,843,278,506.25
  5. Step 5: Solve for x
    x = 161,843,278,506.25/275,280
  6. Step 6: Final answer
    x = 587,922.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.