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Finding the Third Proportional to 245,650 and 532,772

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Solution

The third proportional to 245,650 and 532,772 is: 1,155,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,650 : 532,772 = 532,772 : x
  2. Step 2: Convert to fraction form
    245,650/532,772 = 532,772/x
  3. Step 3: Cross multiply
    245,650x = 532,772 × 532,772
  4. Step 4: Simplify right side
    245,650x = 283,846,003,984
  5. Step 5: Solve for x
    x = 283,846,003,984/245,650
  6. Step 6: Final answer
    x = 1,155,489.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.