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Finding the Third Proportional to 346,752 and 756,144

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Solution

The third proportional to 346,752 and 756,144 is: 1,648,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,752 : 756,144 = 756,144 : x
  2. Step 2: Convert to fraction form
    346,752/756,144 = 756,144/x
  3. Step 3: Cross multiply
    346,752x = 756,144 × 756,144
  4. Step 4: Simplify right side
    346,752x = 571,753,748,736
  5. Step 5: Solve for x
    x = 571,753,748,736/346,752
  6. Step 6: Final answer
    x = 1,648,883.78

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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.