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Finding the Third Proportional to 575,018 and 823,383

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Solution

The third proportional to 575,018 and 823,383 is: 1,179,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,018 : 823,383 = 823,383 : x
  2. Step 2: Convert to fraction form
    575,018/823,383 = 823,383/x
  3. Step 3: Cross multiply
    575,018x = 823,383 × 823,383
  4. Step 4: Simplify right side
    575,018x = 677,959,564,689
  5. Step 5: Solve for x
    x = 677,959,564,689/575,018
  6. Step 6: Final answer
    x = 1,179,023.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.