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Finding the Third Proportional to 346,154 and 747,667

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Solution

The third proportional to 346,154 and 747,667 is: 1,614,905.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,154 : 747,667 = 747,667 : x
  2. Step 2: Convert to fraction form
    346,154/747,667 = 747,667/x
  3. Step 3: Cross multiply
    346,154x = 747,667 × 747,667
  4. Step 4: Simplify right side
    346,154x = 559,005,942,889
  5. Step 5: Solve for x
    x = 559,005,942,889/346,154
  6. Step 6: Final answer
    x = 1,614,905.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.