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Finding the Third Proportional to 302,118 and 423,514.50

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Solution

The third proportional to 302,118 and 423,514.50 is: 593,690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,118 : 423,514.50 = 423,514.50 : x
  2. Step 2: Convert to fraction form
    302,118/423,514.50 = 423,514.50/x
  3. Step 3: Cross multiply
    302,118x = 423,514.50 × 423,514.50
  4. Step 4: Simplify right side
    302,118x = 179,364,531,710.25
  5. Step 5: Solve for x
    x = 179,364,531,710.25/302,118
  6. Step 6: Final answer
    x = 593,690.32

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.