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Finding the Third Proportional to 346,948 and 739,701

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Solution

The third proportional to 346,948 and 739,701 is: 1,577,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,948 : 739,701 = 739,701 : x
  2. Step 2: Convert to fraction form
    346,948/739,701 = 739,701/x
  3. Step 3: Cross multiply
    346,948x = 739,701 × 739,701
  4. Step 4: Simplify right side
    346,948x = 547,157,569,401
  5. Step 5: Solve for x
    x = 547,157,569,401/346,948
  6. Step 6: Final answer
    x = 1,577,059.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.