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Finding the Third Proportional to 360,779.06 and 783,037.13

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Solution

The third proportional to 360,779.06 and 783,037.13 is: 1,699,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,779.06 : 783,037.13 = 783,037.13 : x
  2. Step 2: Convert to fraction form
    360,779.06/783,037.13 = 783,037.13/x
  3. Step 3: Cross multiply
    360,779.06x = 783,037.13 × 783,037.13
  4. Step 4: Simplify right side
    360,779.06x = 613,147,139,128.27
  5. Step 5: Solve for x
    x = 613,147,139,128.27/360,779.06
  6. Step 6: Final answer
    x = 1,699,508.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.