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Finding the Third Proportional to 357,084 and 778,266

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Solution

The third proportional to 357,084 and 778,266 is: 1,696,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,084 : 778,266 = 778,266 : x
  2. Step 2: Convert to fraction form
    357,084/778,266 = 778,266/x
  3. Step 3: Cross multiply
    357,084x = 778,266 × 778,266
  4. Step 4: Simplify right side
    357,084x = 605,697,966,756
  5. Step 5: Solve for x
    x = 605,697,966,756/357,084
  6. Step 6: Final answer
    x = 1,696,233.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.