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Finding the Third Proportional to 536,222 and 786,290

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Solution

The third proportional to 536,222 and 786,290 is: 1,152,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,222 : 786,290 = 786,290 : x
  2. Step 2: Convert to fraction form
    536,222/786,290 = 786,290/x
  3. Step 3: Cross multiply
    536,222x = 786,290 × 786,290
  4. Step 4: Simplify right side
    536,222x = 618,251,964,100
  5. Step 5: Solve for x
    x = 618,251,964,100/536,222
  6. Step 6: Final answer
    x = 1,152,977.62

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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.