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Finding the Third Proportional to 295,134 and 652,290

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Solution

The third proportional to 295,134 and 652,290 is: 1,441,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,134 : 652,290 = 652,290 : x
  2. Step 2: Convert to fraction form
    295,134/652,290 = 652,290/x
  3. Step 3: Cross multiply
    295,134x = 652,290 × 652,290
  4. Step 4: Simplify right side
    295,134x = 425,482,244,100
  5. Step 5: Solve for x
    x = 425,482,244,100/295,134
  6. Step 6: Final answer
    x = 1,441,657.84

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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.