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Finding the Third Proportional to 623,097 and 933,598

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Solution

The third proportional to 623,097 and 933,598 is: 1,398,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,097 : 933,598 = 933,598 : x
  2. Step 2: Convert to fraction form
    623,097/933,598 = 933,598/x
  3. Step 3: Cross multiply
    623,097x = 933,598 × 933,598
  4. Step 4: Simplify right side
    623,097x = 871,605,225,604
  5. Step 5: Solve for x
    x = 871,605,225,604/623,097
  6. Step 6: Final answer
    x = 1,398,827.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.