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Finding the Third Proportional to 623,072 and 933,570

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Solution

The third proportional to 623,072 and 933,570 is: 1,398,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,072 : 933,570 = 933,570 : x
  2. Step 2: Convert to fraction form
    623,072/933,570 = 933,570/x
  3. Step 3: Cross multiply
    623,072x = 933,570 × 933,570
  4. Step 4: Simplify right side
    623,072x = 871,552,944,900
  5. Step 5: Solve for x
    x = 871,552,944,900/623,072
  6. Step 6: Final answer
    x = 1,398,799.73

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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.