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Finding the Third Proportional to 355,796 and 549,408

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Solution

The third proportional to 355,796 and 549,408 is: 848,377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,796 : 549,408 = 549,408 : x
  2. Step 2: Convert to fraction form
    355,796/549,408 = 549,408/x
  3. Step 3: Cross multiply
    355,796x = 549,408 × 549,408
  4. Step 4: Simplify right side
    355,796x = 301,849,150,464
  5. Step 5: Solve for x
    x = 301,849,150,464/355,796
  6. Step 6: Final answer
    x = 848,377.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.