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Finding the Third Proportional to 599,253.19 and 807,382.69

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Solution

The third proportional to 599,253.19 and 807,382.69 is: 1,087,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,253.19 : 807,382.69 = 807,382.69 : x
  2. Step 2: Convert to fraction form
    599,253.19/807,382.69 = 807,382.69/x
  3. Step 3: Cross multiply
    599,253.19x = 807,382.69 × 807,382.69
  4. Step 4: Simplify right side
    599,253.19x = 651,866,804,074.72
  5. Step 5: Solve for x
    x = 651,866,804,074.72/599,253.19
  6. Step 6: Final answer
    x = 1,087,798.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.