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Finding the Third Proportional to 399,269.75 and 865,931.50

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Solution

The third proportional to 399,269.75 and 865,931.50 is: 1,878,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,269.75 : 865,931.50 = 865,931.50 : x
  2. Step 2: Convert to fraction form
    399,269.75/865,931.50 = 865,931.50/x
  3. Step 3: Cross multiply
    399,269.75x = 865,931.50 × 865,931.50
  4. Step 4: Simplify right side
    399,269.75x = 749,837,362,692.25
  5. Step 5: Solve for x
    x = 749,837,362,692.25/399,269.75
  6. Step 6: Final answer
    x = 1,878,021.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.