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Finding the Third Proportional to 623,088 and 933,576

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Solution

The third proportional to 623,088 and 933,576 is: 1,398,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,088 : 933,576 = 933,576 : x
  2. Step 2: Convert to fraction form
    623,088/933,576 = 933,576/x
  3. Step 3: Cross multiply
    623,088x = 933,576 × 933,576
  4. Step 4: Simplify right side
    623,088x = 871,564,147,776
  5. Step 5: Solve for x
    x = 871,564,147,776/623,088
  6. Step 6: Final answer
    x = 1,398,781.79

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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.