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Finding the Third Proportional to 282,719.50 and 609,725.75

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Solution

The third proportional to 282,719.50 and 609,725.75 is: 1,314,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,719.50 : 609,725.75 = 609,725.75 : x
  2. Step 2: Convert to fraction form
    282,719.50/609,725.75 = 609,725.75/x
  3. Step 3: Cross multiply
    282,719.50x = 609,725.75 × 609,725.75
  4. Step 4: Simplify right side
    282,719.50x = 371,765,490,213.06
  5. Step 5: Solve for x
    x = 371,765,490,213.06/282,719.50
  6. Step 6: Final answer
    x = 1,314,962.32

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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.