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Finding the Third Proportional to 282,733.88 and 609,751.13

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Solution

The third proportional to 282,733.88 and 609,751.13 is: 1,315,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,733.88 : 609,751.13 = 609,751.13 : x
  2. Step 2: Convert to fraction form
    282,733.88/609,751.13 = 609,751.13/x
  3. Step 3: Cross multiply
    282,733.88x = 609,751.13 × 609,751.13
  4. Step 4: Simplify right side
    282,733.88x = 371,796,434,438.77
  5. Step 5: Solve for x
    x = 371,796,434,438.77/282,733.88
  6. Step 6: Final answer
    x = 1,315,004.91

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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.