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Finding the Third Proportional to 357,296 and 568,746

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Solution

The third proportional to 357,296 and 568,746 is: 905,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,296 : 568,746 = 568,746 : x
  2. Step 2: Convert to fraction form
    357,296/568,746 = 568,746/x
  3. Step 3: Cross multiply
    357,296x = 568,746 × 568,746
  4. Step 4: Simplify right side
    357,296x = 323,472,012,516
  5. Step 5: Solve for x
    x = 323,472,012,516/357,296
  6. Step 6: Final answer
    x = 905,333.43

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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.