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Finding the Third Proportional to 468,807 and 725,458.50

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Solution

The third proportional to 468,807 and 725,458.50 is: 1,122,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,807 : 725,458.50 = 725,458.50 : x
  2. Step 2: Convert to fraction form
    468,807/725,458.50 = 725,458.50/x
  3. Step 3: Cross multiply
    468,807x = 725,458.50 × 725,458.50
  4. Step 4: Simplify right side
    468,807x = 526,290,035,222.25
  5. Step 5: Solve for x
    x = 526,290,035,222.25/468,807
  6. Step 6: Final answer
    x = 1,122,615.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.