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Finding the Third Proportional to 346,900 and 756,670

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Solution

The third proportional to 346,900 and 756,670 is: 1,650,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,900 : 756,670 = 756,670 : x
  2. Step 2: Convert to fraction form
    346,900/756,670 = 756,670/x
  3. Step 3: Cross multiply
    346,900x = 756,670 × 756,670
  4. Step 4: Simplify right side
    346,900x = 572,549,488,900
  5. Step 5: Solve for x
    x = 572,549,488,900/346,900
  6. Step 6: Final answer
    x = 1,650,474.17

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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.