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Finding the Third Proportional to 362,854.69 and 794,746.69

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Solution

The third proportional to 362,854.69 and 794,746.69 is: 1,740,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,854.69 : 794,746.69 = 794,746.69 : x
  2. Step 2: Convert to fraction form
    362,854.69/794,746.69 = 794,746.69/x
  3. Step 3: Cross multiply
    362,854.69x = 794,746.69 × 794,746.69
  4. Step 4: Simplify right side
    362,854.69x = 631,622,297,292.22
  5. Step 5: Solve for x
    x = 631,622,297,292.22/362,854.69
  6. Step 6: Final answer
    x = 1,740,703.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.