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Finding the Third Proportional to 290,593.50 and 390,510

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Solution

The third proportional to 290,593.50 and 390,510 is: 524,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,593.50 : 390,510 = 390,510 : x
  2. Step 2: Convert to fraction form
    290,593.50/390,510 = 390,510/x
  3. Step 3: Cross multiply
    290,593.50x = 390,510 × 390,510
  4. Step 4: Simplify right side
    290,593.50x = 152,498,060,100
  5. Step 5: Solve for x
    x = 152,498,060,100/290,593.50
  6. Step 6: Final answer
    x = 524,781.39

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.