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Finding the Third Proportional to 243,434 and 524,668

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Solution

The third proportional to 243,434 and 524,668 is: 1,130,805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,434 : 524,668 = 524,668 : x
  2. Step 2: Convert to fraction form
    243,434/524,668 = 524,668/x
  3. Step 3: Cross multiply
    243,434x = 524,668 × 524,668
  4. Step 4: Simplify right side
    243,434x = 275,276,510,224
  5. Step 5: Solve for x
    x = 275,276,510,224/243,434
  6. Step 6: Final answer
    x = 1,130,805.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.