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Finding the Third Proportional to 714,156.75 and 968,820.75

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Solution

The third proportional to 714,156.75 and 968,820.75 is: 1,314,296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,156.75 : 968,820.75 = 968,820.75 : x
  2. Step 2: Convert to fraction form
    714,156.75/968,820.75 = 968,820.75/x
  3. Step 3: Cross multiply
    714,156.75x = 968,820.75 × 968,820.75
  4. Step 4: Simplify right side
    714,156.75x = 938,613,645,630.56
  5. Step 5: Solve for x
    x = 938,613,645,630.56/714,156.75
  6. Step 6: Final answer
    x = 1,314,296.40

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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.