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Finding the Third Proportional to 715,502 and 968,277

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Solution

The third proportional to 715,502 and 968,277 is: 1,310,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,502 : 968,277 = 968,277 : x
  2. Step 2: Convert to fraction form
    715,502/968,277 = 968,277/x
  3. Step 3: Cross multiply
    715,502x = 968,277 × 968,277
  4. Step 4: Simplify right side
    715,502x = 937,560,348,729
  5. Step 5: Solve for x
    x = 937,560,348,729/715,502
  6. Step 6: Final answer
    x = 1,310,353.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.