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Finding the Third Proportional to 532,097 and 798,121.50

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Solution

The third proportional to 532,097 and 798,121.50 is: 1,197,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,097 : 798,121.50 = 798,121.50 : x
  2. Step 2: Convert to fraction form
    532,097/798,121.50 = 798,121.50/x
  3. Step 3: Cross multiply
    532,097x = 798,121.50 × 798,121.50
  4. Step 4: Simplify right side
    532,097x = 636,997,928,762.25
  5. Step 5: Solve for x
    x = 636,997,928,762.25/532,097
  6. Step 6: Final answer
    x = 1,197,146.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.