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Finding the Third Proportional to 347,205 and 760,884

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Solution

The third proportional to 347,205 and 760,884 is: 1,667,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,205 : 760,884 = 760,884 : x
  2. Step 2: Convert to fraction form
    347,205/760,884 = 760,884/x
  3. Step 3: Cross multiply
    347,205x = 760,884 × 760,884
  4. Step 4: Simplify right side
    347,205x = 578,944,461,456
  5. Step 5: Solve for x
    x = 578,944,461,456/347,205
  6. Step 6: Final answer
    x = 1,667,442.75

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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.