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Finding the Third Proportional to 368,292 and 568,710

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Solution

The third proportional to 368,292 and 568,710 is: 878,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,292 : 568,710 = 568,710 : x
  2. Step 2: Convert to fraction form
    368,292/568,710 = 568,710/x
  3. Step 3: Cross multiply
    368,292x = 568,710 × 568,710
  4. Step 4: Simplify right side
    368,292x = 323,431,064,100
  5. Step 5: Solve for x
    x = 323,431,064,100/368,292
  6. Step 6: Final answer
    x = 878,191.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.