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Finding the Third Proportional to 623,068 and 933,564

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Solution

The third proportional to 623,068 and 933,564 is: 1,398,790.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,068 : 933,564 = 933,564 : x
  2. Step 2: Convert to fraction form
    623,068/933,564 = 933,564/x
  3. Step 3: Cross multiply
    623,068x = 933,564 × 933,564
  4. Step 4: Simplify right side
    623,068x = 871,541,742,096
  5. Step 5: Solve for x
    x = 871,541,742,096/623,068
  6. Step 6: Final answer
    x = 1,398,790.73

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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.