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Finding the Third Proportional to 393,970.50 and 573,733.13

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Solution

The third proportional to 393,970.50 and 573,733.13 is: 835,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,970.50 : 573,733.13 = 573,733.13 : x
  2. Step 2: Convert to fraction form
    393,970.50/573,733.13 = 573,733.13/x
  3. Step 3: Cross multiply
    393,970.50x = 573,733.13 × 573,733.13
  4. Step 4: Simplify right side
    393,970.50x = 329,169,698,722.27
  5. Step 5: Solve for x
    x = 329,169,698,722.27/393,970.50
  6. Step 6: Final answer
    x = 835,518.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.