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Finding the Third Proportional to 282,750.75 and 609,773.06

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Solution

The third proportional to 282,750.75 and 609,773.06 is: 1,315,021.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,750.75 : 609,773.06 = 609,773.06 : x
  2. Step 2: Convert to fraction form
    282,750.75/609,773.06 = 609,773.06/x
  3. Step 3: Cross multiply
    282,750.75x = 609,773.06 × 609,773.06
  4. Step 4: Simplify right side
    282,750.75x = 371,823,187,750.63
  5. Step 5: Solve for x
    x = 371,823,187,750.63/282,750.75
  6. Step 6: Final answer
    x = 1,315,021.05

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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.