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Finding the Third Proportional to 528,076 and 703,914

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Solution

The third proportional to 528,076 and 703,914 is: 938,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,076 : 703,914 = 703,914 : x
  2. Step 2: Convert to fraction form
    528,076/703,914 = 703,914/x
  3. Step 3: Cross multiply
    528,076x = 703,914 × 703,914
  4. Step 4: Simplify right side
    528,076x = 495,494,919,396
  5. Step 5: Solve for x
    x = 495,494,919,396/528,076
  6. Step 6: Final answer
    x = 938,302.29

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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.