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Finding the Third Proportional to 549,304 and 823,413

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Solution

The third proportional to 549,304 and 823,413 is: 1,234,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,304 : 823,413 = 823,413 : x
  2. Step 2: Convert to fraction form
    549,304/823,413 = 823,413/x
  3. Step 3: Cross multiply
    549,304x = 823,413 × 823,413
  4. Step 4: Simplify right side
    549,304x = 678,008,968,569
  5. Step 5: Solve for x
    x = 678,008,968,569/549,304
  6. Step 6: Final answer
    x = 1,234,305.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.