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Finding the Third Proportional to 357,941 and 500,690

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Solution

The third proportional to 357,941 and 500,690 is: 700,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,941 : 500,690 = 500,690 : x
  2. Step 2: Convert to fraction form
    357,941/500,690 = 500,690/x
  3. Step 3: Cross multiply
    357,941x = 500,690 × 500,690
  4. Step 4: Simplify right side
    357,941x = 250,690,476,100
  5. Step 5: Solve for x
    x = 250,690,476,100/357,941
  6. Step 6: Final answer
    x = 700,368.15

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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.