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Finding the Third Proportional to 243,340 and 524,120

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Solution

The third proportional to 243,340 and 524,120 is: 1,128,880.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,340 : 524,120 = 524,120 : x
  2. Step 2: Convert to fraction form
    243,340/524,120 = 524,120/x
  3. Step 3: Cross multiply
    243,340x = 524,120 × 524,120
  4. Step 4: Simplify right side
    243,340x = 274,701,774,400
  5. Step 5: Solve for x
    x = 274,701,774,400/243,340
  6. Step 6: Final answer
    x = 1,128,880.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.