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Finding the Third Proportional to 472,317 and 549,093

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Solution

The third proportional to 472,317 and 549,093 is: 638,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,317 : 549,093 = 549,093 : x
  2. Step 2: Convert to fraction form
    472,317/549,093 = 549,093/x
  3. Step 3: Cross multiply
    472,317x = 549,093 × 549,093
  4. Step 4: Simplify right side
    472,317x = 301,503,122,649
  5. Step 5: Solve for x
    x = 301,503,122,649/472,317
  6. Step 6: Final answer
    x = 638,349.08

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.