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Finding the Third Proportional to 357,948 and 501,726

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Solution

The third proportional to 357,948 and 501,726 is: 703,255.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,948 : 501,726 = 501,726 : x
  2. Step 2: Convert to fraction form
    357,948/501,726 = 501,726/x
  3. Step 3: Cross multiply
    357,948x = 501,726 × 501,726
  4. Step 4: Simplify right side
    357,948x = 251,728,979,076
  5. Step 5: Solve for x
    x = 251,728,979,076/357,948
  6. Step 6: Final answer
    x = 703,255.72

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