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Finding the Third Proportional to 540,598 and 810,898

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Solution

The third proportional to 540,598 and 810,898 is: 1,216,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,598 : 810,898 = 810,898 : x
  2. Step 2: Convert to fraction form
    540,598/810,898 = 810,898/x
  3. Step 3: Cross multiply
    540,598x = 810,898 × 810,898
  4. Step 4: Simplify right side
    540,598x = 657,555,566,404
  5. Step 5: Solve for x
    x = 657,555,566,404/540,598
  6. Step 6: Final answer
    x = 1,216,348.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.