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Finding the Third Proportional to 213,285.66 and 466,626.66

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Solution

The third proportional to 213,285.66 and 466,626.66 is: 1,020,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,285.66 : 466,626.66 = 466,626.66 : x
  2. Step 2: Convert to fraction form
    213,285.66/466,626.66 = 466,626.66/x
  3. Step 3: Cross multiply
    213,285.66x = 466,626.66 × 466,626.66
  4. Step 4: Simplify right side
    213,285.66x = 217,740,436,323.06
  5. Step 5: Solve for x
    x = 217,740,436,323.06/213,285.66
  6. Step 6: Final answer
    x = 1,020,886.45

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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.