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Finding the Third Proportional to 294,039.75 and 432,444.75

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Solution

The third proportional to 294,039.75 and 432,444.75 is: 635,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,039.75 : 432,444.75 = 432,444.75 : x
  2. Step 2: Convert to fraction form
    294,039.75/432,444.75 = 432,444.75/x
  3. Step 3: Cross multiply
    294,039.75x = 432,444.75 × 432,444.75
  4. Step 4: Simplify right side
    294,039.75x = 187,008,461,802.56
  5. Step 5: Solve for x
    x = 187,008,461,802.56/294,039.75
  6. Step 6: Final answer
    x = 635,997.21

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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.