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Finding the Third Proportional to 576,256 and 832,518

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Solution

The third proportional to 576,256 and 832,518 is: 1,202,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,256 : 832,518 = 832,518 : x
  2. Step 2: Convert to fraction form
    576,256/832,518 = 832,518/x
  3. Step 3: Cross multiply
    576,256x = 832,518 × 832,518
  4. Step 4: Simplify right side
    576,256x = 693,086,220,324
  5. Step 5: Solve for x
    x = 693,086,220,324/576,256
  6. Step 6: Final answer
    x = 1,202,740.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.