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Finding the Third Proportional to 433,218.80 and 966,048.19

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Solution

The third proportional to 433,218.80 and 966,048.19 is: 2,154,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,218.80 : 966,048.19 = 966,048.19 : x
  2. Step 2: Convert to fraction form
    433,218.80/966,048.19 = 966,048.19/x
  3. Step 3: Cross multiply
    433,218.80x = 966,048.19 × 966,048.19
  4. Step 4: Simplify right side
    433,218.80x = 933,249,100,572.04
  5. Step 5: Solve for x
    x = 933,249,100,572.04/433,218.80
  6. Step 6: Final answer
    x = 2,154,221.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.