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Finding the Third Proportional to 282,127.88 and 610,272.59

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Solution

The third proportional to 282,127.88 and 610,272.59 is: 1,320,084.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,127.88 : 610,272.59 = 610,272.59 : x
  2. Step 2: Convert to fraction form
    282,127.88/610,272.59 = 610,272.59/x
  3. Step 3: Cross multiply
    282,127.88x = 610,272.59 × 610,272.59
  4. Step 4: Simplify right side
    282,127.88x = 372,432,638,682.35
  5. Step 5: Solve for x
    x = 372,432,638,682.35/282,127.88
  6. Step 6: Final answer
    x = 1,320,084.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.