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Finding the Third Proportional to 349,482 and 764,391

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Solution

The third proportional to 349,482 and 764,391 is: 1,671,884.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,482 : 764,391 = 764,391 : x
  2. Step 2: Convert to fraction form
    349,482/764,391 = 764,391/x
  3. Step 3: Cross multiply
    349,482x = 764,391 × 764,391
  4. Step 4: Simplify right side
    349,482x = 584,293,600,881
  5. Step 5: Solve for x
    x = 584,293,600,881/349,482
  6. Step 6: Final answer
    x = 1,671,884.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.