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Finding the Third Proportional to 315,027 and 472,414.50

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Solution

The third proportional to 315,027 and 472,414.50 is: 708,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,027 : 472,414.50 = 472,414.50 : x
  2. Step 2: Convert to fraction form
    315,027/472,414.50 = 472,414.50/x
  3. Step 3: Cross multiply
    315,027x = 472,414.50 × 472,414.50
  4. Step 4: Simplify right side
    315,027x = 223,175,459,810.25
  5. Step 5: Solve for x
    x = 223,175,459,810.25/315,027
  6. Step 6: Final answer
    x = 708,432.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.