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Finding the Third Proportional to 346,158 and 747,675

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Solution

The third proportional to 346,158 and 747,675 is: 1,614,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,158 : 747,675 = 747,675 : x
  2. Step 2: Convert to fraction form
    346,158/747,675 = 747,675/x
  3. Step 3: Cross multiply
    346,158x = 747,675 × 747,675
  4. Step 4: Simplify right side
    346,158x = 559,017,905,625
  5. Step 5: Solve for x
    x = 559,017,905,625/346,158
  6. Step 6: Final answer
    x = 1,614,921.24

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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.