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Finding the Third Proportional to 301,111.17 and 443,345.91

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Solution

The third proportional to 301,111.17 and 443,345.91 is: 652,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,111.17 : 443,345.91 = 443,345.91 : x
  2. Step 2: Convert to fraction form
    301,111.17/443,345.91 = 443,345.91/x
  3. Step 3: Cross multiply
    301,111.17x = 443,345.91 × 443,345.91
  4. Step 4: Simplify right side
    301,111.17x = 196,555,592,588.63
  5. Step 5: Solve for x
    x = 196,555,592,588.63/301,111.17
  6. Step 6: Final answer
    x = 652,767.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.