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Finding the Third Proportional to 213,140 and 466,888

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Solution

The third proportional to 213,140 and 466,888 is: 1,022,728.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,140 : 466,888 = 466,888 : x
  2. Step 2: Convert to fraction form
    213,140/466,888 = 466,888/x
  3. Step 3: Cross multiply
    213,140x = 466,888 × 466,888
  4. Step 4: Simplify right side
    213,140x = 217,984,404,544
  5. Step 5: Solve for x
    x = 217,984,404,544/213,140
  6. Step 6: Final answer
    x = 1,022,728.74

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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.