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Finding the Third Proportional to 575,008 and 823,368

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Solution

The third proportional to 575,008 and 823,368 is: 1,179,000.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,008 : 823,368 = 823,368 : x
  2. Step 2: Convert to fraction form
    575,008/823,368 = 823,368/x
  3. Step 3: Cross multiply
    575,008x = 823,368 × 823,368
  4. Step 4: Simplify right side
    575,008x = 677,934,863,424
  5. Step 5: Solve for x
    x = 677,934,863,424/575,008
  6. Step 6: Final answer
    x = 1,179,000.75

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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.