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Finding the Third Proportional to 346,372 and 719,960

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Solution

The third proportional to 346,372 and 719,960 is: 1,496,490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,372 : 719,960 = 719,960 : x
  2. Step 2: Convert to fraction form
    346,372/719,960 = 719,960/x
  3. Step 3: Cross multiply
    346,372x = 719,960 × 719,960
  4. Step 4: Simplify right side
    346,372x = 518,342,401,600
  5. Step 5: Solve for x
    x = 518,342,401,600/346,372
  6. Step 6: Final answer
    x = 1,496,490.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.