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Finding the Third Proportional to 286,947 and 363,829.50

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Solution

The third proportional to 286,947 and 363,829.50 is: 461,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,947 : 363,829.50 = 363,829.50 : x
  2. Step 2: Convert to fraction form
    286,947/363,829.50 = 363,829.50/x
  3. Step 3: Cross multiply
    286,947x = 363,829.50 × 363,829.50
  4. Step 4: Simplify right side
    286,947x = 132,371,905,070.25
  5. Step 5: Solve for x
    x = 132,371,905,070.25/286,947
  6. Step 6: Final answer
    x = 461,311.34

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.