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Finding the Third Proportional to 362,193 and 549,312

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Solution

The third proportional to 362,193 and 549,312 is: 833,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,193 : 549,312 = 549,312 : x
  2. Step 2: Convert to fraction form
    362,193/549,312 = 549,312/x
  3. Step 3: Cross multiply
    362,193x = 549,312 × 549,312
  4. Step 4: Simplify right side
    362,193x = 301,743,673,344
  5. Step 5: Solve for x
    x = 301,743,673,344/362,193
  6. Step 6: Final answer
    x = 833,101.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.