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Finding the Third Proportional to 295,168 and 652,354

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Solution

The third proportional to 295,168 and 652,354 is: 1,441,774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,168 : 652,354 = 652,354 : x
  2. Step 2: Convert to fraction form
    295,168/652,354 = 652,354/x
  3. Step 3: Cross multiply
    295,168x = 652,354 × 652,354
  4. Step 4: Simplify right side
    295,168x = 425,565,741,316
  5. Step 5: Solve for x
    x = 425,565,741,316/295,168
  6. Step 6: Final answer
    x = 1,441,774.65

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.