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Finding the Third Proportional to 286,288.50 and 616,560

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Solution

The third proportional to 286,288.50 and 616,560 is: 1,327,843.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,288.50 : 616,560 = 616,560 : x
  2. Step 2: Convert to fraction form
    286,288.50/616,560 = 616,560/x
  3. Step 3: Cross multiply
    286,288.50x = 616,560 × 616,560
  4. Step 4: Simplify right side
    286,288.50x = 380,146,233,600
  5. Step 5: Solve for x
    x = 380,146,233,600/286,288.50
  6. Step 6: Final answer
    x = 1,327,843.18

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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.