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Finding the Third Proportional to 346,277 and 756,544

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Solution

The third proportional to 346,277 and 756,544 is: 1,652,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,277 : 756,544 = 756,544 : x
  2. Step 2: Convert to fraction form
    346,277/756,544 = 756,544/x
  3. Step 3: Cross multiply
    346,277x = 756,544 × 756,544
  4. Step 4: Simplify right side
    346,277x = 572,358,823,936
  5. Step 5: Solve for x
    x = 572,358,823,936/346,277
  6. Step 6: Final answer
    x = 1,652,892.98

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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.