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Finding the Third Proportional to 368,092 and 549,938

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Solution

The third proportional to 368,092 and 549,938 is: 821,620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,092 : 549,938 = 549,938 : x
  2. Step 2: Convert to fraction form
    368,092/549,938 = 549,938/x
  3. Step 3: Cross multiply
    368,092x = 549,938 × 549,938
  4. Step 4: Simplify right side
    368,092x = 302,431,803,844
  5. Step 5: Solve for x
    x = 302,431,803,844/368,092
  6. Step 6: Final answer
    x = 821,620.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.