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Finding the Third Proportional to 623,095 and 933,595

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Solution

The third proportional to 623,095 and 933,595 is: 1,398,823.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,095 : 933,595 = 933,595 : x
  2. Step 2: Convert to fraction form
    623,095/933,595 = 933,595/x
  3. Step 3: Cross multiply
    623,095x = 933,595 × 933,595
  4. Step 4: Simplify right side
    623,095x = 871,599,624,025
  5. Step 5: Solve for x
    x = 871,599,624,025/623,095
  6. Step 6: Final answer
    x = 1,398,823.01

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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.