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Finding the Third Proportional to 458,045.44 and 673,384.22

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Solution

The third proportional to 458,045.44 and 673,384.22 is: 989,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,045.44 : 673,384.22 = 673,384.22 : x
  2. Step 2: Convert to fraction form
    458,045.44/673,384.22 = 673,384.22/x
  3. Step 3: Cross multiply
    458,045.44x = 673,384.22 × 673,384.22
  4. Step 4: Simplify right side
    458,045.44x = 453,446,306,061.55
  5. Step 5: Solve for x
    x = 453,446,306,061.55/458,045.44
  6. Step 6: Final answer
    x = 989,959.22

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Why These Related Problems?

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