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Finding the Third Proportional to 286,569 and 441,877.50

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Solution

The third proportional to 286,569 and 441,877.50 is: 681,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,569 : 441,877.50 = 441,877.50 : x
  2. Step 2: Convert to fraction form
    286,569/441,877.50 = 441,877.50/x
  3. Step 3: Cross multiply
    286,569x = 441,877.50 × 441,877.50
  4. Step 4: Simplify right side
    286,569x = 195,255,725,006.25
  5. Step 5: Solve for x
    x = 195,255,725,006.25/286,569
  6. Step 6: Final answer
    x = 681,356.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.