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Finding the Third Proportional to 576,933 and 1,262,446.50

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Solution

The third proportional to 576,933 and 1,262,446.50 is: 2,762,489.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,933 : 1,262,446.50 = 1,262,446.50 : x
  2. Step 2: Convert to fraction form
    576,933/1,262,446.50 = 1,262,446.50/x
  3. Step 3: Cross multiply
    576,933x = 1,262,446.50 × 1,262,446.50
  4. Step 4: Simplify right side
    576,933x = 1,593,771,165,362.25
  5. Step 5: Solve for x
    x = 1,593,771,165,362.25/576,933
  6. Step 6: Final answer
    x = 2,762,489.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.