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Finding the Third Proportional to 411,942 and 623,722.50

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Solution

The third proportional to 411,942 and 623,722.50 is: 944,379.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,942 : 623,722.50 = 623,722.50 : x
  2. Step 2: Convert to fraction form
    411,942/623,722.50 = 623,722.50/x
  3. Step 3: Cross multiply
    411,942x = 623,722.50 × 623,722.50
  4. Step 4: Simplify right side
    411,942x = 389,029,757,006.25
  5. Step 5: Solve for x
    x = 389,029,757,006.25/411,942
  6. Step 6: Final answer
    x = 944,379.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.