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Finding the Third Proportional to 362,328 and 787,087.50

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Solution

The third proportional to 362,328 and 787,087.50 is: 1,709,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,328 : 787,087.50 = 787,087.50 : x
  2. Step 2: Convert to fraction form
    362,328/787,087.50 = 787,087.50/x
  3. Step 3: Cross multiply
    362,328x = 787,087.50 × 787,087.50
  4. Step 4: Simplify right side
    362,328x = 619,506,732,656.25
  5. Step 5: Solve for x
    x = 619,506,732,656.25/362,328
  6. Step 6: Final answer
    x = 1,709,795.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.