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Finding the Third Proportional to 357,938 and 500,686

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Solution

The third proportional to 357,938 and 500,686 is: 700,362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,938 : 500,686 = 500,686 : x
  2. Step 2: Convert to fraction form
    357,938/500,686 = 500,686/x
  3. Step 3: Cross multiply
    357,938x = 500,686 × 500,686
  4. Step 4: Simplify right side
    357,938x = 250,686,470,596
  5. Step 5: Solve for x
    x = 250,686,470,596/357,938
  6. Step 6: Final answer
    x = 700,362.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.