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Finding the Third Proportional to 357,283 and 568,725

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Solution

The third proportional to 357,283 and 568,725 is: 905,299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,283 : 568,725 = 568,725 : x
  2. Step 2: Convert to fraction form
    357,283/568,725 = 568,725/x
  3. Step 3: Cross multiply
    357,283x = 568,725 × 568,725
  4. Step 4: Simplify right side
    357,283x = 323,448,125,625
  5. Step 5: Solve for x
    x = 323,448,125,625/357,283
  6. Step 6: Final answer
    x = 905,299.51

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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.