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Finding the Third Proportional to 713,713.50 and 968,838.75

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Solution

The third proportional to 713,713.50 and 968,838.75 is: 1,315,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,713.50 : 968,838.75 = 968,838.75 : x
  2. Step 2: Convert to fraction form
    713,713.50/968,838.75 = 968,838.75/x
  3. Step 3: Cross multiply
    713,713.50x = 968,838.75 × 968,838.75
  4. Step 4: Simplify right side
    713,713.50x = 938,648,523,501.56
  5. Step 5: Solve for x
    x = 938,648,523,501.56/713,713.50
  6. Step 6: Final answer
    x = 1,315,161.51

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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.