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Finding the Third Proportional to 357,646.50 and 501,275.25

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Solution

The third proportional to 357,646.50 and 501,275.25 is: 702,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,646.50 : 501,275.25 = 501,275.25 : x
  2. Step 2: Convert to fraction form
    357,646.50/501,275.25 = 501,275.25/x
  3. Step 3: Cross multiply
    357,646.50x = 501,275.25 × 501,275.25
  4. Step 4: Simplify right side
    357,646.50x = 251,276,876,262.56
  5. Step 5: Solve for x
    x = 251,276,876,262.56/357,646.50
  6. Step 6: Final answer
    x = 702,584.47

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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.