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Finding the Third Proportional to 390,019.50 and 835,092

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Solution

The third proportional to 390,019.50 and 835,092 is: 1,788,060.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,019.50 : 835,092 = 835,092 : x
  2. Step 2: Convert to fraction form
    390,019.50/835,092 = 835,092/x
  3. Step 3: Cross multiply
    390,019.50x = 835,092 × 835,092
  4. Step 4: Simplify right side
    390,019.50x = 697,378,648,464
  5. Step 5: Solve for x
    x = 697,378,648,464/390,019.50
  6. Step 6: Final answer
    x = 1,788,060.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.