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Finding the Third Proportional to 382,835.11 and 565,497.07

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Solution

The third proportional to 382,835.11 and 565,497.07 is: 835,312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,835.11 : 565,497.07 = 565,497.07 : x
  2. Step 2: Convert to fraction form
    382,835.11/565,497.07 = 565,497.07/x
  3. Step 3: Cross multiply
    382,835.11x = 565,497.07 × 565,497.07
  4. Step 4: Simplify right side
    382,835.11x = 319,786,936,532.02
  5. Step 5: Solve for x
    x = 319,786,936,532.02/382,835.11
  6. Step 6: Final answer
    x = 835,312.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.