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Finding the Third Proportional to 346,884 and 756,632

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Solution

The third proportional to 346,884 and 756,632 is: 1,650,384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,884 : 756,632 = 756,632 : x
  2. Step 2: Convert to fraction form
    346,884/756,632 = 756,632/x
  3. Step 3: Cross multiply
    346,884x = 756,632 × 756,632
  4. Step 4: Simplify right side
    346,884x = 572,491,983,424
  5. Step 5: Solve for x
    x = 572,491,983,424/346,884
  6. Step 6: Final answer
    x = 1,650,384.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.