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Finding the Third Proportional to 475,323 and 742,144.50

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Solution

The third proportional to 475,323 and 742,144.50 is: 1,158,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,323 : 742,144.50 = 742,144.50 : x
  2. Step 2: Convert to fraction form
    475,323/742,144.50 = 742,144.50/x
  3. Step 3: Cross multiply
    475,323x = 742,144.50 × 742,144.50
  4. Step 4: Simplify right side
    475,323x = 550,778,458,880.25
  5. Step 5: Solve for x
    x = 550,778,458,880.25/475,323
  6. Step 6: Final answer
    x = 1,158,745.65

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.