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Finding the Third Proportional to 282,366 and 621,594

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Solution

The third proportional to 282,366 and 621,594 is: 1,368,362.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,366 : 621,594 = 621,594 : x
  2. Step 2: Convert to fraction form
    282,366/621,594 = 621,594/x
  3. Step 3: Cross multiply
    282,366x = 621,594 × 621,594
  4. Step 4: Simplify right side
    282,366x = 386,379,100,836
  5. Step 5: Solve for x
    x = 386,379,100,836/282,366
  6. Step 6: Final answer
    x = 1,368,362.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.