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Finding the Third Proportional to 357,716 and 501,371

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Solution

The third proportional to 357,716 and 501,371 is: 702,716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,716 : 501,371 = 501,371 : x
  2. Step 2: Convert to fraction form
    357,716/501,371 = 501,371/x
  3. Step 3: Cross multiply
    357,716x = 501,371 × 501,371
  4. Step 4: Simplify right side
    357,716x = 251,372,879,641
  5. Step 5: Solve for x
    x = 251,372,879,641/357,716
  6. Step 6: Final answer
    x = 702,716.34

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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.