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Finding the Third Proportional to 540,010.50 and 696,837

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Solution

The third proportional to 540,010.50 and 696,837 is: 899,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,010.50 : 696,837 = 696,837 : x
  2. Step 2: Convert to fraction form
    540,010.50/696,837 = 696,837/x
  3. Step 3: Cross multiply
    540,010.50x = 696,837 × 696,837
  4. Step 4: Simplify right side
    540,010.50x = 485,581,804,569
  5. Step 5: Solve for x
    x = 485,581,804,569/540,010.50
  6. Step 6: Final answer
    x = 899,208.08

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.