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Finding the Third Proportional to 294,042 and 432,447

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Solution

The third proportional to 294,042 and 432,447 is: 635,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,042 : 432,447 = 432,447 : x
  2. Step 2: Convert to fraction form
    294,042/432,447 = 432,447/x
  3. Step 3: Cross multiply
    294,042x = 432,447 × 432,447
  4. Step 4: Simplify right side
    294,042x = 187,010,407,809
  5. Step 5: Solve for x
    x = 187,010,407,809/294,042
  6. Step 6: Final answer
    x = 635,998.97

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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.