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Finding the Third Proportional to 302,319.75 and 437,026.50

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Solution

The third proportional to 302,319.75 and 437,026.50 is: 631,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,319.75 : 437,026.50 = 437,026.50 : x
  2. Step 2: Convert to fraction form
    302,319.75/437,026.50 = 437,026.50/x
  3. Step 3: Cross multiply
    302,319.75x = 437,026.50 × 437,026.50
  4. Step 4: Simplify right side
    302,319.75x = 190,992,161,702.25
  5. Step 5: Solve for x
    x = 190,992,161,702.25/302,319.75
  6. Step 6: Final answer
    x = 631,755.49

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.