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Finding the Third Proportional to 286,869 and 630,354

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Solution

The third proportional to 286,869 and 630,354 is: 1,385,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,869 : 630,354 = 630,354 : x
  2. Step 2: Convert to fraction form
    286,869/630,354 = 630,354/x
  3. Step 3: Cross multiply
    286,869x = 630,354 × 630,354
  4. Step 4: Simplify right side
    286,869x = 397,346,165,316
  5. Step 5: Solve for x
    x = 397,346,165,316/286,869
  6. Step 6: Final answer
    x = 1,385,113.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.