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Finding the Third Proportional to 250,501.50 and 545,959.50

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Solution

The third proportional to 250,501.50 and 545,959.50 is: 1,189,900.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,501.50 : 545,959.50 = 545,959.50 : x
  2. Step 2: Convert to fraction form
    250,501.50/545,959.50 = 545,959.50/x
  3. Step 3: Cross multiply
    250,501.50x = 545,959.50 × 545,959.50
  4. Step 4: Simplify right side
    250,501.50x = 298,071,775,640.25
  5. Step 5: Solve for x
    x = 298,071,775,640.25/250,501.50
  6. Step 6: Final answer
    x = 1,189,900.16

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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.