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Finding the Third Proportional to 433,365.19 and 673,651.69

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Solution

The third proportional to 433,365.19 and 673,651.69 is: 1,047,169.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,365.19 : 673,651.69 = 673,651.69 : x
  2. Step 2: Convert to fraction form
    433,365.19/673,651.69 = 673,651.69/x
  3. Step 3: Cross multiply
    433,365.19x = 673,651.69 × 673,651.69
  4. Step 4: Simplify right side
    433,365.19x = 453,806,596,071.60
  5. Step 5: Solve for x
    x = 453,806,596,071.60/433,365.19
  6. Step 6: Final answer
    x = 1,047,169.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.