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Finding the Third Proportional to 347,348 and 756,904

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Solution

The third proportional to 347,348 and 756,904 is: 1,649,365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,348 : 756,904 = 756,904 : x
  2. Step 2: Convert to fraction form
    347,348/756,904 = 756,904/x
  3. Step 3: Cross multiply
    347,348x = 756,904 × 756,904
  4. Step 4: Simplify right side
    347,348x = 572,903,665,216
  5. Step 5: Solve for x
    x = 572,903,665,216/347,348
  6. Step 6: Final answer
    x = 1,649,365.09

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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.