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Finding the Third Proportional to 569,465.63 and 801,025.13

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Solution

The third proportional to 569,465.63 and 801,025.13 is: 1,126,742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,465.63 : 801,025.13 = 801,025.13 : x
  2. Step 2: Convert to fraction form
    569,465.63/801,025.13 = 801,025.13/x
  3. Step 3: Cross multiply
    569,465.63x = 801,025.13 × 801,025.13
  4. Step 4: Simplify right side
    569,465.63x = 641,641,250,881.27
  5. Step 5: Solve for x
    x = 641,641,250,881.27/569,465.63
  6. Step 6: Final answer
    x = 1,126,742.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.