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Finding the Third Proportional to 286,510.50 and 587,358

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Solution

The third proportional to 286,510.50 and 587,358 is: 1,204,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,510.50 : 587,358 = 587,358 : x
  2. Step 2: Convert to fraction form
    286,510.50/587,358 = 587,358/x
  3. Step 3: Cross multiply
    286,510.50x = 587,358 × 587,358
  4. Step 4: Simplify right side
    286,510.50x = 344,989,420,164
  5. Step 5: Solve for x
    x = 344,989,420,164/286,510.50
  6. Step 6: Final answer
    x = 1,204,107.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.