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Finding the Third Proportional to 315,113.63 and 472,894.88

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Solution

The third proportional to 315,113.63 and 472,894.88 is: 709,679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,113.63 : 472,894.88 = 472,894.88 : x
  2. Step 2: Convert to fraction form
    315,113.63/472,894.88 = 472,894.88/x
  3. Step 3: Cross multiply
    315,113.63x = 472,894.88 × 472,894.88
  4. Step 4: Simplify right side
    315,113.63x = 223,629,562,801.27
  5. Step 5: Solve for x
    x = 223,629,562,801.27/315,113.63
  6. Step 6: Final answer
    x = 709,679.13

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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.