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Finding the Third Proportional to 362,343 and 532,858.50

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Solution

The third proportional to 362,343 and 532,858.50 is: 783,617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,343 : 532,858.50 = 532,858.50 : x
  2. Step 2: Convert to fraction form
    362,343/532,858.50 = 532,858.50/x
  3. Step 3: Cross multiply
    362,343x = 532,858.50 × 532,858.50
  4. Step 4: Simplify right side
    362,343x = 283,938,181,022.25
  5. Step 5: Solve for x
    x = 283,938,181,022.25/362,343
  6. Step 6: Final answer
    x = 783,617.13

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.