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Finding the Third Proportional to 348,580 and 755,774

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Solution

The third proportional to 348,580 and 755,774 is: 1,638,631.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,580 : 755,774 = 755,774 : x
  2. Step 2: Convert to fraction form
    348,580/755,774 = 755,774/x
  3. Step 3: Cross multiply
    348,580x = 755,774 × 755,774
  4. Step 4: Simplify right side
    348,580x = 571,194,339,076
  5. Step 5: Solve for x
    x = 571,194,339,076/348,580
  6. Step 6: Final answer
    x = 1,638,631.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.