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Finding the Third Proportional to 242,263.41 and 565,840.69

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Solution

The third proportional to 242,263.41 and 565,840.69 is: 1,321,601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,263.41 : 565,840.69 = 565,840.69 : x
  2. Step 2: Convert to fraction form
    242,263.41/565,840.69 = 565,840.69/x
  3. Step 3: Cross multiply
    242,263.41x = 565,840.69 × 565,840.69
  4. Step 4: Simplify right side
    242,263.41x = 320,175,683,630.47
  5. Step 5: Solve for x
    x = 320,175,683,630.47/242,263.41
  6. Step 6: Final answer
    x = 1,321,601.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.