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Finding the Third Proportional to 616,791 and 984,226.50

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Solution

The third proportional to 616,791 and 984,226.50 is: 1,570,551.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,791 : 984,226.50 = 984,226.50 : x
  2. Step 2: Convert to fraction form
    616,791/984,226.50 = 984,226.50/x
  3. Step 3: Cross multiply
    616,791x = 984,226.50 × 984,226.50
  4. Step 4: Simplify right side
    616,791x = 968,701,803,302.25
  5. Step 5: Solve for x
    x = 968,701,803,302.25/616,791
  6. Step 6: Final answer
    x = 1,570,551.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.