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Finding the Third Proportional to 533,688.75 and 831,151.13

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Solution

The third proportional to 533,688.75 and 831,151.13 is: 1,294,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,688.75 : 831,151.13 = 831,151.13 : x
  2. Step 2: Convert to fraction form
    533,688.75/831,151.13 = 831,151.13/x
  3. Step 3: Cross multiply
    533,688.75x = 831,151.13 × 831,151.13
  4. Step 4: Simplify right side
    533,688.75x = 690,812,192,588.77
  5. Step 5: Solve for x
    x = 690,812,192,588.77/533,688.75
  6. Step 6: Final answer
    x = 1,294,410.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.