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Finding the Third Proportional to 282,735.56 and 616,278.38

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Solution

The third proportional to 282,735.56 and 616,278.38 is: 1,343,301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,735.56 : 616,278.38 = 616,278.38 : x
  2. Step 2: Convert to fraction form
    282,735.56/616,278.38 = 616,278.38/x
  3. Step 3: Cross multiply
    282,735.56x = 616,278.38 × 616,278.38
  4. Step 4: Simplify right side
    282,735.56x = 379,799,035,492.64
  5. Step 5: Solve for x
    x = 379,799,035,492.64/282,735.56
  6. Step 6: Final answer
    x = 1,343,301.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.