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Finding the Third Proportional to 282,255 and 603,354

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Solution

The third proportional to 282,255 and 603,354 is: 1,289,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,255 : 603,354 = 603,354 : x
  2. Step 2: Convert to fraction form
    282,255/603,354 = 603,354/x
  3. Step 3: Cross multiply
    282,255x = 603,354 × 603,354
  4. Step 4: Simplify right side
    282,255x = 364,036,049,316
  5. Step 5: Solve for x
    x = 364,036,049,316/282,255
  6. Step 6: Final answer
    x = 1,289,741.72

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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.