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Finding the Third Proportional to 247,984 and 540,255

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Solution

The third proportional to 247,984 and 540,255 is: 1,176,993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,984 : 540,255 = 540,255 : x
  2. Step 2: Convert to fraction form
    247,984/540,255 = 540,255/x
  3. Step 3: Cross multiply
    247,984x = 540,255 × 540,255
  4. Step 4: Simplify right side
    247,984x = 291,875,465,025
  5. Step 5: Solve for x
    x = 291,875,465,025/247,984
  6. Step 6: Final answer
    x = 1,176,993.13

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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.