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Finding the Third Proportional to 295,524 and 630,360

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Solution

The third proportional to 295,524 and 630,360 is: 1,344,573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,524 : 630,360 = 630,360 : x
  2. Step 2: Convert to fraction form
    295,524/630,360 = 630,360/x
  3. Step 3: Cross multiply
    295,524x = 630,360 × 630,360
  4. Step 4: Simplify right side
    295,524x = 397,353,729,600
  5. Step 5: Solve for x
    x = 397,353,729,600/295,524
  6. Step 6: Final answer
    x = 1,344,573.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.