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Finding the Third Proportional to 282,048 and 603,453

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Solution

The third proportional to 282,048 and 603,453 is: 1,291,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,048 : 603,453 = 603,453 : x
  2. Step 2: Convert to fraction form
    282,048/603,453 = 603,453/x
  3. Step 3: Cross multiply
    282,048x = 603,453 × 603,453
  4. Step 4: Simplify right side
    282,048x = 364,155,523,209
  5. Step 5: Solve for x
    x = 364,155,523,209/282,048
  6. Step 6: Final answer
    x = 1,291,111.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.