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Finding the Third Proportional to 438,412 and 660,514.50

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Solution

The third proportional to 438,412 and 660,514.50 is: 995,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,412 : 660,514.50 = 660,514.50 : x
  2. Step 2: Convert to fraction form
    438,412/660,514.50 = 660,514.50/x
  3. Step 3: Cross multiply
    438,412x = 660,514.50 × 660,514.50
  4. Step 4: Simplify right side
    438,412x = 436,279,404,710.25
  5. Step 5: Solve for x
    x = 436,279,404,710.25/438,412
  6. Step 6: Final answer
    x = 995,135.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.