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Finding the Third Proportional to 248,802 and 539,598

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Solution

The third proportional to 248,802 and 539,598 is: 1,170,271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,802 : 539,598 = 539,598 : x
  2. Step 2: Convert to fraction form
    248,802/539,598 = 539,598/x
  3. Step 3: Cross multiply
    248,802x = 539,598 × 539,598
  4. Step 4: Simplify right side
    248,802x = 291,166,001,604
  5. Step 5: Solve for x
    x = 291,166,001,604/248,802
  6. Step 6: Final answer
    x = 1,170,271.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.