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Finding the Third Proportional to 357,635.25 and 501,298.88

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Solution

The third proportional to 357,635.25 and 501,298.88 is: 702,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,635.25 : 501,298.88 = 501,298.88 : x
  2. Step 2: Convert to fraction form
    357,635.25/501,298.88 = 501,298.88/x
  3. Step 3: Cross multiply
    357,635.25x = 501,298.88 × 501,298.88
  4. Step 4: Simplify right side
    357,635.25x = 251,300,562,076.27
  5. Step 5: Solve for x
    x = 251,300,562,076.27/357,635.25
  6. Step 6: Final answer
    x = 702,672.80

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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.