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Finding the Third Proportional to 407,197.13 and 535,465.69

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Solution

The third proportional to 407,197.13 and 535,465.69 is: 704,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,197.13 : 535,465.69 = 535,465.69 : x
  2. Step 2: Convert to fraction form
    407,197.13/535,465.69 = 535,465.69/x
  3. Step 3: Cross multiply
    407,197.13x = 535,465.69 × 535,465.69
  4. Step 4: Simplify right side
    407,197.13x = 286,723,502,489.85
  5. Step 5: Solve for x
    x = 286,723,502,489.85/407,197.13
  6. Step 6: Final answer
    x = 704,139.31

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.