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Finding the Third Proportional to 585,699.75 and 884,790

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Solution

The third proportional to 585,699.75 and 884,790 is: 1,336,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,699.75 : 884,790 = 884,790 : x
  2. Step 2: Convert to fraction form
    585,699.75/884,790 = 884,790/x
  3. Step 3: Cross multiply
    585,699.75x = 884,790 × 884,790
  4. Step 4: Simplify right side
    585,699.75x = 782,853,344,100
  5. Step 5: Solve for x
    x = 782,853,344,100/585,699.75
  6. Step 6: Final answer
    x = 1,336,612.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.