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Finding the Third Proportional to 549,306 and 823,416.75

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Solution

The third proportional to 549,306 and 823,416.75 is: 1,234,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,306 : 823,416.75 = 823,416.75 : x
  2. Step 2: Convert to fraction form
    549,306/823,416.75 = 823,416.75/x
  3. Step 3: Cross multiply
    549,306x = 823,416.75 × 823,416.75
  4. Step 4: Simplify right side
    549,306x = 678,015,144,180.56
  5. Step 5: Solve for x
    x = 678,015,144,180.56/549,306
  6. Step 6: Final answer
    x = 1,234,312.29

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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.