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Finding the Third Proportional to 533,894 and 719,120

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Solution

The third proportional to 533,894 and 719,120 is: 968,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,894 : 719,120 = 719,120 : x
  2. Step 2: Convert to fraction form
    533,894/719,120 = 719,120/x
  3. Step 3: Cross multiply
    533,894x = 719,120 × 719,120
  4. Step 4: Simplify right side
    533,894x = 517,133,574,400
  5. Step 5: Solve for x
    x = 517,133,574,400/533,894
  6. Step 6: Final answer
    x = 968,607.20

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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.