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Finding the Third Proportional to 575,020 and 823,386

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Solution

The third proportional to 575,020 and 823,386 is: 1,179,027.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,020 : 823,386 = 823,386 : x
  2. Step 2: Convert to fraction form
    575,020/823,386 = 823,386/x
  3. Step 3: Cross multiply
    575,020x = 823,386 × 823,386
  4. Step 4: Simplify right side
    575,020x = 677,964,504,996
  5. Step 5: Solve for x
    x = 677,964,504,996/575,020
  6. Step 6: Final answer
    x = 1,179,027.69

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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.