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Finding the Third Proportional to 295,524 and 633,060

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Solution

The third proportional to 295,524 and 633,060 is: 1,356,116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,524 : 633,060 = 633,060 : x
  2. Step 2: Convert to fraction form
    295,524/633,060 = 633,060/x
  3. Step 3: Cross multiply
    295,524x = 633,060 × 633,060
  4. Step 4: Simplify right side
    295,524x = 400,764,963,600
  5. Step 5: Solve for x
    x = 400,764,963,600/295,524
  6. Step 6: Final answer
    x = 1,356,116.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.