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Finding the Third Proportional to 286,160 and 616,602

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Solution

The third proportional to 286,160 and 616,602 is: 1,328,620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,160 : 616,602 = 616,602 : x
  2. Step 2: Convert to fraction form
    286,160/616,602 = 616,602/x
  3. Step 3: Cross multiply
    286,160x = 616,602 × 616,602
  4. Step 4: Simplify right side
    286,160x = 380,198,026,404
  5. Step 5: Solve for x
    x = 380,198,026,404/286,160
  6. Step 6: Final answer
    x = 1,328,620.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.