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Finding the Third Proportional to 243,653 and 365,480

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Solution

The third proportional to 243,653 and 365,480 is: 548,220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,653 : 365,480 = 365,480 : x
  2. Step 2: Convert to fraction form
    243,653/365,480 = 365,480/x
  3. Step 3: Cross multiply
    243,653x = 365,480 × 365,480
  4. Step 4: Simplify right side
    243,653x = 133,575,630,400
  5. Step 5: Solve for x
    x = 133,575,630,400/243,653
  6. Step 6: Final answer
    x = 548,220.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.