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Finding the Third Proportional to 409,875 and 627,250.50

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Solution

The third proportional to 409,875 and 627,250.50 is: 959,910.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,875 : 627,250.50 = 627,250.50 : x
  2. Step 2: Convert to fraction form
    409,875/627,250.50 = 627,250.50/x
  3. Step 3: Cross multiply
    409,875x = 627,250.50 × 627,250.50
  4. Step 4: Simplify right side
    409,875x = 393,443,189,750.25
  5. Step 5: Solve for x
    x = 393,443,189,750.25/409,875
  6. Step 6: Final answer
    x = 959,910.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.