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Finding the Third Proportional to 219,271.13 and 472,380

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Solution

The third proportional to 219,271.13 and 472,380 is: 1,017,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,271.13 : 472,380 = 472,380 : x
  2. Step 2: Convert to fraction form
    219,271.13/472,380 = 472,380/x
  3. Step 3: Cross multiply
    219,271.13x = 472,380 × 472,380
  4. Step 4: Simplify right side
    219,271.13x = 223,142,864,400
  5. Step 5: Solve for x
    x = 223,142,864,400/219,271.13
  6. Step 6: Final answer
    x = 1,017,657.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.