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Finding the Third Proportional to 369,684 and 528,268.50

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Solution

The third proportional to 369,684 and 528,268.50 is: 754,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,684 : 528,268.50 = 528,268.50 : x
  2. Step 2: Convert to fraction form
    369,684/528,268.50 = 528,268.50/x
  3. Step 3: Cross multiply
    369,684x = 528,268.50 × 528,268.50
  4. Step 4: Simplify right side
    369,684x = 279,067,608,092.25
  5. Step 5: Solve for x
    x = 279,067,608,092.25/369,684
  6. Step 6: Final answer
    x = 754,881.49

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.