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Finding the Third Proportional to 291,114 and 626,514.75

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Solution

The third proportional to 291,114 and 626,514.75 is: 1,348,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,114 : 626,514.75 = 626,514.75 : x
  2. Step 2: Convert to fraction form
    291,114/626,514.75 = 626,514.75/x
  3. Step 3: Cross multiply
    291,114x = 626,514.75 × 626,514.75
  4. Step 4: Simplify right side
    291,114x = 392,520,731,967.56
  5. Step 5: Solve for x
    x = 392,520,731,967.56/291,114
  6. Step 6: Final answer
    x = 1,348,340.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.