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Finding the Third Proportional to 295,287.75 and 610,260

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Solution

The third proportional to 295,287.75 and 610,260 is: 1,261,201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,287.75 : 610,260 = 610,260 : x
  2. Step 2: Convert to fraction form
    295,287.75/610,260 = 610,260/x
  3. Step 3: Cross multiply
    295,287.75x = 610,260 × 610,260
  4. Step 4: Simplify right side
    295,287.75x = 372,417,267,600
  5. Step 5: Solve for x
    x = 372,417,267,600/295,287.75
  6. Step 6: Final answer
    x = 1,261,201.21

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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.