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Finding the Third Proportional to 353,323.13 and 772,651.13

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Solution

The third proportional to 353,323.13 and 772,651.13 is: 1,689,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,323.13 : 772,651.13 = 772,651.13 : x
  2. Step 2: Convert to fraction form
    353,323.13/772,651.13 = 772,651.13/x
  3. Step 3: Cross multiply
    353,323.13x = 772,651.13 × 772,651.13
  4. Step 4: Simplify right side
    353,323.13x = 596,989,760,963.77
  5. Step 5: Solve for x
    x = 596,989,760,963.77/353,323.13
  6. Step 6: Final answer
    x = 1,689,642.48

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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.