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Finding the Third Proportional to 651,881.25 and 958,972.50

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Solution

The third proportional to 651,881.25 and 958,972.50 is: 1,410,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,881.25 : 958,972.50 = 958,972.50 : x
  2. Step 2: Convert to fraction form
    651,881.25/958,972.50 = 958,972.50/x
  3. Step 3: Cross multiply
    651,881.25x = 958,972.50 × 958,972.50
  4. Step 4: Simplify right side
    651,881.25x = 919,628,255,756.25
  5. Step 5: Solve for x
    x = 919,628,255,756.25/651,881.25
  6. Step 6: Final answer
    x = 1,410,729.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.