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Finding the Third Proportional to 713,752 and 968,895

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Solution

The third proportional to 713,752 and 968,895 is: 1,315,243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,752 : 968,895 = 968,895 : x
  2. Step 2: Convert to fraction form
    713,752/968,895 = 968,895/x
  3. Step 3: Cross multiply
    713,752x = 968,895 × 968,895
  4. Step 4: Simplify right side
    713,752x = 938,757,521,025
  5. Step 5: Solve for x
    x = 938,757,521,025/713,752
  6. Step 6: Final answer
    x = 1,315,243.28

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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.