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Finding the Third Proportional to 585,177.75 and 1,277,518.50

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Solution

The third proportional to 585,177.75 and 1,277,518.50 is: 2,788,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,177.75 : 1,277,518.50 = 1,277,518.50 : x
  2. Step 2: Convert to fraction form
    585,177.75/1,277,518.50 = 1,277,518.50/x
  3. Step 3: Cross multiply
    585,177.75x = 1,277,518.50 × 1,277,518.50
  4. Step 4: Simplify right side
    585,177.75x = 1,632,053,517,842.25
  5. Step 5: Solve for x
    x = 1,632,053,517,842.25/585,177.75
  6. Step 6: Final answer
    x = 2,788,987.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.