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Finding the Third Proportional to 402,097.50 and 865,977

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Solution

The third proportional to 402,097.50 and 865,977 is: 1,865,010.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,097.50 : 865,977 = 865,977 : x
  2. Step 2: Convert to fraction form
    402,097.50/865,977 = 865,977/x
  3. Step 3: Cross multiply
    402,097.50x = 865,977 × 865,977
  4. Step 4: Simplify right side
    402,097.50x = 749,916,164,529
  5. Step 5: Solve for x
    x = 749,916,164,529/402,097.50
  6. Step 6: Final answer
    x = 1,865,010.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.