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Finding the Third Proportional to 712,914 and 968,524

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Solution

The third proportional to 712,914 and 968,524 is: 1,315,781.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,914 : 968,524 = 968,524 : x
  2. Step 2: Convert to fraction form
    712,914/968,524 = 968,524/x
  3. Step 3: Cross multiply
    712,914x = 968,524 × 968,524
  4. Step 4: Simplify right side
    712,914x = 938,038,738,576
  5. Step 5: Solve for x
    x = 938,038,738,576/712,914
  6. Step 6: Final answer
    x = 1,315,781.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.