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Finding the Third Proportional to 315,471 and 472,720.50

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Solution

The third proportional to 315,471 and 472,720.50 is: 708,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,471 : 472,720.50 = 472,720.50 : x
  2. Step 2: Convert to fraction form
    315,471/472,720.50 = 472,720.50/x
  3. Step 3: Cross multiply
    315,471x = 472,720.50 × 472,720.50
  4. Step 4: Simplify right side
    315,471x = 223,464,671,120.25
  5. Step 5: Solve for x
    x = 223,464,671,120.25/315,471
  6. Step 6: Final answer
    x = 708,352.50

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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.