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Finding the Third Proportional to 213,688.83 and 457,023.66

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Solution

The third proportional to 213,688.83 and 457,023.66 is: 977,452.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,688.83 : 457,023.66 = 457,023.66 : x
  2. Step 2: Convert to fraction form
    213,688.83/457,023.66 = 457,023.66/x
  3. Step 3: Cross multiply
    213,688.83x = 457,023.66 × 457,023.66
  4. Step 4: Simplify right side
    213,688.83x = 208,870,622,372.12
  5. Step 5: Solve for x
    x = 208,870,622,372.12/213,688.83
  6. Step 6: Final answer
    x = 977,452.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.