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Finding the Third Proportional to 616,527.07 and 922,283.72

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Solution

The third proportional to 616,527.07 and 922,283.72 is: 1,379,675.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,527.07 : 922,283.72 = 922,283.72 : x
  2. Step 2: Convert to fraction form
    616,527.07/922,283.72 = 922,283.72/x
  3. Step 3: Cross multiply
    616,527.07x = 922,283.72 × 922,283.72
  4. Step 4: Simplify right side
    616,527.07x = 850,607,257,871.33
  5. Step 5: Solve for x
    x = 850,607,257,871.33/616,527.07
  6. Step 6: Final answer
    x = 1,379,675.44

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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.