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Finding the Third Proportional to 213,793.92 and 464,800.03

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Solution

The third proportional to 213,793.92 and 464,800.03 is: 1,010,501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,793.92 : 464,800.03 = 464,800.03 : x
  2. Step 2: Convert to fraction form
    213,793.92/464,800.03 = 464,800.03/x
  3. Step 3: Cross multiply
    213,793.92x = 464,800.03 × 464,800.03
  4. Step 4: Simplify right side
    213,793.92x = 216,039,069,050.00
  5. Step 5: Solve for x
    x = 216,039,069,050.00/213,793.92
  6. Step 6: Final answer
    x = 1,010,501.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.