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Finding the Third Proportional to 284,332 and 603,648

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Solution

The third proportional to 284,332 and 603,648 is: 1,281,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,332 : 603,648 = 603,648 : x
  2. Step 2: Convert to fraction form
    284,332/603,648 = 603,648/x
  3. Step 3: Cross multiply
    284,332x = 603,648 × 603,648
  4. Step 4: Simplify right side
    284,332x = 364,390,907,904
  5. Step 5: Solve for x
    x = 364,390,907,904/284,332
  6. Step 6: Final answer
    x = 1,281,568.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.