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Finding the Third Proportional to 357,939 and 501,714

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Solution

The third proportional to 357,939 and 501,714 is: 703,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,939 : 501,714 = 501,714 : x
  2. Step 2: Convert to fraction form
    357,939/501,714 = 501,714/x
  3. Step 3: Cross multiply
    357,939x = 501,714 × 501,714
  4. Step 4: Simplify right side
    357,939x = 251,716,937,796
  5. Step 5: Solve for x
    x = 251,716,937,796/357,939
  6. Step 6: Final answer
    x = 703,239.76

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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.