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Finding the Third Proportional to 295,412.06 and 644,291.72

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Solution

The third proportional to 295,412.06 and 644,291.72 is: 1,405,195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,412.06 : 644,291.72 = 644,291.72 : x
  2. Step 2: Convert to fraction form
    295,412.06/644,291.72 = 644,291.72/x
  3. Step 3: Cross multiply
    295,412.06x = 644,291.72 × 644,291.72
  4. Step 4: Simplify right side
    295,412.06x = 415,111,818,849.83
  5. Step 5: Solve for x
    x = 415,111,818,849.83/295,412.06
  6. Step 6: Final answer
    x = 1,405,195.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.