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Finding the Third Proportional to 286,689 and 400,981.50

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Solution

The third proportional to 286,689 and 400,981.50 is: 560,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,689 : 400,981.50 = 400,981.50 : x
  2. Step 2: Convert to fraction form
    286,689/400,981.50 = 400,981.50/x
  3. Step 3: Cross multiply
    286,689x = 400,981.50 × 400,981.50
  4. Step 4: Simplify right side
    286,689x = 160,786,163,342.25
  5. Step 5: Solve for x
    x = 160,786,163,342.25/286,689
  6. Step 6: Final answer
    x = 560,838.27

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.