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Finding the Third Proportional to 282,752.44 and 585,187.88

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Solution

The third proportional to 282,752.44 and 585,187.88 is: 1,211,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,752.44 : 585,187.88 = 585,187.88 : x
  2. Step 2: Convert to fraction form
    282,752.44/585,187.88 = 585,187.88/x
  3. Step 3: Cross multiply
    282,752.44x = 585,187.88 × 585,187.88
  4. Step 4: Simplify right side
    282,752.44x = 342,444,849,047.02
  5. Step 5: Solve for x
    x = 342,444,849,047.02/282,752.44
  6. Step 6: Final answer
    x = 1,211,111.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.