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Finding the Third Proportional to 282,507.75 and 609,828.75

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Solution

The third proportional to 282,507.75 and 609,828.75 is: 1,316,392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,507.75 : 609,828.75 = 609,828.75 : x
  2. Step 2: Convert to fraction form
    282,507.75/609,828.75 = 609,828.75/x
  3. Step 3: Cross multiply
    282,507.75x = 609,828.75 × 609,828.75
  4. Step 4: Simplify right side
    282,507.75x = 371,891,104,326.56
  5. Step 5: Solve for x
    x = 371,891,104,326.56/282,507.75
  6. Step 6: Final answer
    x = 1,316,392.57

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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.