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Finding the Third Proportional to 533,202 and 847,971

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Solution

The third proportional to 533,202 and 847,971 is: 1,348,559.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,202 : 847,971 = 847,971 : x
  2. Step 2: Convert to fraction form
    533,202/847,971 = 847,971/x
  3. Step 3: Cross multiply
    533,202x = 847,971 × 847,971
  4. Step 4: Simplify right side
    533,202x = 719,054,816,841
  5. Step 5: Solve for x
    x = 719,054,816,841/533,202
  6. Step 6: Final answer
    x = 1,348,559.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.