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Finding the Third Proportional to 346,311 and 756,774

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Solution

The third proportional to 346,311 and 756,774 is: 1,653,735.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,311 : 756,774 = 756,774 : x
  2. Step 2: Convert to fraction form
    346,311/756,774 = 756,774/x
  3. Step 3: Cross multiply
    346,311x = 756,774 × 756,774
  4. Step 4: Simplify right side
    346,311x = 572,706,887,076
  5. Step 5: Solve for x
    x = 572,706,887,076/346,311
  6. Step 6: Final answer
    x = 1,653,735.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.