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Finding the Third Proportional to 368,448.75 and 585,883.13

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Solution

The third proportional to 368,448.75 and 585,883.13 is: 931,633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,448.75 : 585,883.13 = 585,883.13 : x
  2. Step 2: Convert to fraction form
    368,448.75/585,883.13 = 585,883.13/x
  3. Step 3: Cross multiply
    368,448.75x = 585,883.13 × 585,883.13
  4. Step 4: Simplify right side
    368,448.75x = 343,259,036,159.77
  5. Step 5: Solve for x
    x = 343,259,036,159.77/368,448.75
  6. Step 6: Final answer
    x = 931,633.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.