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Finding the Third Proportional to 283,330.41 and 612,330.89

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Solution

The third proportional to 283,330.41 and 612,330.89 is: 1,323,363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,330.41 : 612,330.89 = 612,330.89 : x
  2. Step 2: Convert to fraction form
    283,330.41/612,330.89 = 612,330.89/x
  3. Step 3: Cross multiply
    283,330.41x = 612,330.89 × 612,330.89
  4. Step 4: Simplify right side
    283,330.41x = 374,949,119,613.61
  5. Step 5: Solve for x
    x = 374,949,119,613.61/283,330.41
  6. Step 6: Final answer
    x = 1,323,363.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.