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Finding the Third Proportional to 712,944 and 968,504

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Solution

The third proportional to 712,944 and 968,504 is: 1,315,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,944 : 968,504 = 968,504 : x
  2. Step 2: Convert to fraction form
    712,944/968,504 = 968,504/x
  3. Step 3: Cross multiply
    712,944x = 968,504 × 968,504
  4. Step 4: Simplify right side
    712,944x = 937,999,998,016
  5. Step 5: Solve for x
    x = 937,999,998,016/712,944
  6. Step 6: Final answer
    x = 1,315,671.35

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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.