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Finding the Third Proportional to 424,012 and 573,810

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Solution

The third proportional to 424,012 and 573,810 is: 776,529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,012 : 573,810 = 573,810 : x
  2. Step 2: Convert to fraction form
    424,012/573,810 = 573,810/x
  3. Step 3: Cross multiply
    424,012x = 573,810 × 573,810
  4. Step 4: Simplify right side
    424,012x = 329,257,916,100
  5. Step 5: Solve for x
    x = 329,257,916,100/424,012
  6. Step 6: Final answer
    x = 776,529.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.