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Finding the Third Proportional to 213,643.50 and 466,987.50

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Solution

The third proportional to 213,643.50 and 466,987.50 is: 1,020,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,643.50 : 466,987.50 = 466,987.50 : x
  2. Step 2: Convert to fraction form
    213,643.50/466,987.50 = 466,987.50/x
  3. Step 3: Cross multiply
    213,643.50x = 466,987.50 × 466,987.50
  4. Step 4: Simplify right side
    213,643.50x = 218,077,325,156.25
  5. Step 5: Solve for x
    x = 218,077,325,156.25/213,643.50
  6. Step 6: Final answer
    x = 1,020,753.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.