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Finding the Third Proportional to 616,549.50 and 922,317.75

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Solution

The third proportional to 616,549.50 and 922,317.75 is: 1,379,727.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,549.50 : 922,317.75 = 922,317.75 : x
  2. Step 2: Convert to fraction form
    616,549.50/922,317.75 = 922,317.75/x
  3. Step 3: Cross multiply
    616,549.50x = 922,317.75 × 922,317.75
  4. Step 4: Simplify right side
    616,549.50x = 850,670,031,965.06
  5. Step 5: Solve for x
    x = 850,670,031,965.06/616,549.50
  6. Step 6: Final answer
    x = 1,379,727.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.