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Finding the Third Proportional to 357,294 and 568,741

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Solution

The third proportional to 357,294 and 568,741 is: 905,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,294 : 568,741 = 568,741 : x
  2. Step 2: Convert to fraction form
    357,294/568,741 = 568,741/x
  3. Step 3: Cross multiply
    357,294x = 568,741 × 568,741
  4. Step 4: Simplify right side
    357,294x = 323,466,325,081
  5. Step 5: Solve for x
    x = 323,466,325,081/357,294
  6. Step 6: Final answer
    x = 905,322.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.