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Finding the Third Proportional to 243,752 and 543,516

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Solution

The third proportional to 243,752 and 543,516 is: 1,211,927.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,752 : 543,516 = 543,516 : x
  2. Step 2: Convert to fraction form
    243,752/543,516 = 543,516/x
  3. Step 3: Cross multiply
    243,752x = 543,516 × 543,516
  4. Step 4: Simplify right side
    243,752x = 295,409,642,256
  5. Step 5: Solve for x
    x = 295,409,642,256/243,752
  6. Step 6: Final answer
    x = 1,211,927.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.