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Finding the Third Proportional to 362,079 and 540,688.50

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Solution

The third proportional to 362,079 and 540,688.50 is: 807,404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,079 : 540,688.50 = 540,688.50 : x
  2. Step 2: Convert to fraction form
    362,079/540,688.50 = 540,688.50/x
  3. Step 3: Cross multiply
    362,079x = 540,688.50 × 540,688.50
  4. Step 4: Simplify right side
    362,079x = 292,344,054,032.25
  5. Step 5: Solve for x
    x = 292,344,054,032.25/362,079
  6. Step 6: Final answer
    x = 807,404.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.