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Finding the Third Proportional to 536,760 and 830,088

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Solution

The third proportional to 536,760 and 830,088 is: 1,283,713.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,760 : 830,088 = 830,088 : x
  2. Step 2: Convert to fraction form
    536,760/830,088 = 830,088/x
  3. Step 3: Cross multiply
    536,760x = 830,088 × 830,088
  4. Step 4: Simplify right side
    536,760x = 689,046,087,744
  5. Step 5: Solve for x
    x = 689,046,087,744/536,760
  6. Step 6: Final answer
    x = 1,283,713.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.