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Finding the Third Proportional to 315,317.81 and 472,513.50

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Solution

The third proportional to 315,317.81 and 472,513.50 is: 708,076.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,317.81 : 472,513.50 = 472,513.50 : x
  2. Step 2: Convert to fraction form
    315,317.81/472,513.50 = 472,513.50/x
  3. Step 3: Cross multiply
    315,317.81x = 472,513.50 × 472,513.50
  4. Step 4: Simplify right side
    315,317.81x = 223,269,007,682.25
  5. Step 5: Solve for x
    x = 223,269,007,682.25/315,317.81
  6. Step 6: Final answer
    x = 708,076.10

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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.