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Finding the Third Proportional to 475,809.19 and 736,426.69

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Solution

The third proportional to 475,809.19 and 736,426.69 is: 1,139,793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,809.19 : 736,426.69 = 736,426.69 : x
  2. Step 2: Convert to fraction form
    475,809.19/736,426.69 = 736,426.69/x
  3. Step 3: Cross multiply
    475,809.19x = 736,426.69 × 736,426.69
  4. Step 4: Simplify right side
    475,809.19x = 542,324,266,062.22
  5. Step 5: Solve for x
    x = 542,324,266,062.22/475,809.19
  6. Step 6: Final answer
    x = 1,139,793.60

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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.