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Finding the Third Proportional to 282,048 and 603,454

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Solution

The third proportional to 282,048 and 603,454 is: 1,291,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,048 : 603,454 = 603,454 : x
  2. Step 2: Convert to fraction form
    282,048/603,454 = 603,454/x
  3. Step 3: Cross multiply
    282,048x = 603,454 × 603,454
  4. Step 4: Simplify right side
    282,048x = 364,156,730,116
  5. Step 5: Solve for x
    x = 364,156,730,116/282,048
  6. Step 6: Final answer
    x = 1,291,116.16

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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.