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Finding the Third Proportional to 349,534 and 764,483

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Solution

The third proportional to 349,534 and 764,483 is: 1,672,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,534 : 764,483 = 764,483 : x
  2. Step 2: Convert to fraction form
    349,534/764,483 = 764,483/x
  3. Step 3: Cross multiply
    349,534x = 764,483 × 764,483
  4. Step 4: Simplify right side
    349,534x = 584,434,257,289
  5. Step 5: Solve for x
    x = 584,434,257,289/349,534
  6. Step 6: Final answer
    x = 1,672,038.36

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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.