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Finding the Third Proportional to 282,248 and 603,316

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Solution

The third proportional to 282,248 and 603,316 is: 1,289,611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,248 : 603,316 = 603,316 : x
  2. Step 2: Convert to fraction form
    282,248/603,316 = 603,316/x
  3. Step 3: Cross multiply
    282,248x = 603,316 × 603,316
  4. Step 4: Simplify right side
    282,248x = 363,990,195,856
  5. Step 5: Solve for x
    x = 363,990,195,856/282,248
  6. Step 6: Final answer
    x = 1,289,611.25

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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.