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Finding the Third Proportional to 533,896 and 719,124

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Solution

The third proportional to 533,896 and 719,124 is: 968,614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,896 : 719,124 = 719,124 : x
  2. Step 2: Convert to fraction form
    533,896/719,124 = 719,124/x
  3. Step 3: Cross multiply
    533,896x = 719,124 × 719,124
  4. Step 4: Simplify right side
    533,896x = 517,139,327,376
  5. Step 5: Solve for x
    x = 517,139,327,376/533,896
  6. Step 6: Final answer
    x = 968,614.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.