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Finding the Third Proportional to 528,096 and 703,944

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Solution

The third proportional to 528,096 and 703,944 is: 938,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,096 : 703,944 = 703,944 : x
  2. Step 2: Convert to fraction form
    528,096/703,944 = 703,944/x
  3. Step 3: Cross multiply
    528,096x = 703,944 × 703,944
  4. Step 4: Simplify right side
    528,096x = 495,537,155,136
  5. Step 5: Solve for x
    x = 495,537,155,136/528,096
  6. Step 6: Final answer
    x = 938,346.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.