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Finding the Third Proportional to 412,627.50 and 903,987

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Solution

The third proportional to 412,627.50 and 903,987 is: 1,980,460.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,627.50 : 903,987 = 903,987 : x
  2. Step 2: Convert to fraction form
    412,627.50/903,987 = 903,987/x
  3. Step 3: Cross multiply
    412,627.50x = 903,987 × 903,987
  4. Step 4: Simplify right side
    412,627.50x = 817,192,496,169
  5. Step 5: Solve for x
    x = 817,192,496,169/412,627.50
  6. Step 6: Final answer
    x = 1,980,460.58

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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.