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Finding the Third Proportional to 472,308 and 549,081

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Solution

The third proportional to 472,308 and 549,081 is: 638,333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,308 : 549,081 = 549,081 : x
  2. Step 2: Convert to fraction form
    472,308/549,081 = 549,081/x
  3. Step 3: Cross multiply
    472,308x = 549,081 × 549,081
  4. Step 4: Simplify right side
    472,308x = 301,489,944,561
  5. Step 5: Solve for x
    x = 301,489,944,561/472,308
  6. Step 6: Final answer
    x = 638,333.34

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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.