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Finding the Third Proportional to 282,955 and 618,399

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Solution

The third proportional to 282,955 and 618,399 is: 1,351,512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,955 : 618,399 = 618,399 : x
  2. Step 2: Convert to fraction form
    282,955/618,399 = 618,399/x
  3. Step 3: Cross multiply
    282,955x = 618,399 × 618,399
  4. Step 4: Simplify right side
    282,955x = 382,417,323,201
  5. Step 5: Solve for x
    x = 382,417,323,201/282,955
  6. Step 6: Final answer
    x = 1,351,512.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.