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Finding the Third Proportional to 457,430.63 and 966,358.13

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Solution

The third proportional to 457,430.63 and 966,358.13 is: 2,041,507.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,430.63 : 966,358.13 = 966,358.13 : x
  2. Step 2: Convert to fraction form
    457,430.63/966,358.13 = 966,358.13/x
  3. Step 3: Cross multiply
    457,430.63x = 966,358.13 × 966,358.13
  4. Step 4: Simplify right side
    457,430.63x = 933,848,025,753.52
  5. Step 5: Solve for x
    x = 933,848,025,753.52/457,430.63
  6. Step 6: Final answer
    x = 2,041,507.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.