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Finding the Third Proportional to 368,068 and 782,792

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Solution

The third proportional to 368,068 and 782,792 is: 1,664,810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,068 : 782,792 = 782,792 : x
  2. Step 2: Convert to fraction form
    368,068/782,792 = 782,792/x
  3. Step 3: Cross multiply
    368,068x = 782,792 × 782,792
  4. Step 4: Simplify right side
    368,068x = 612,763,315,264
  5. Step 5: Solve for x
    x = 612,763,315,264/368,068
  6. Step 6: Final answer
    x = 1,664,810.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.