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Finding the Third Proportional to 348,569 and 761,108

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Solution

The third proportional to 348,569 and 761,108 is: 1,661,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,569 : 761,108 = 761,108 : x
  2. Step 2: Convert to fraction form
    348,569/761,108 = 761,108/x
  3. Step 3: Cross multiply
    348,569x = 761,108 × 761,108
  4. Step 4: Simplify right side
    348,569x = 579,285,387,664
  5. Step 5: Solve for x
    x = 579,285,387,664/348,569
  6. Step 6: Final answer
    x = 1,661,895.89

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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.