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Finding the Third Proportional to 525,295.13 and 801,064.69

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Solution

The third proportional to 525,295.13 and 801,064.69 is: 1,221,607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,295.13 : 801,064.69 = 801,064.69 : x
  2. Step 2: Convert to fraction form
    525,295.13/801,064.69 = 801,064.69/x
  3. Step 3: Cross multiply
    525,295.13x = 801,064.69 × 801,064.69
  4. Step 4: Simplify right side
    525,295.13x = 641,704,633,559.47
  5. Step 5: Solve for x
    x = 641,704,633,559.47/525,295.13
  6. Step 6: Final answer
    x = 1,221,607.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.