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Finding the Third Proportional to 233,948.81 and 478,963.13

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Solution

The third proportional to 233,948.81 and 478,963.13 is: 980,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,948.81 : 478,963.13 = 478,963.13 : x
  2. Step 2: Convert to fraction form
    233,948.81/478,963.13 = 478,963.13/x
  3. Step 3: Cross multiply
    233,948.81x = 478,963.13 × 478,963.13
  4. Step 4: Simplify right side
    233,948.81x = 229,405,675,109.77
  5. Step 5: Solve for x
    x = 229,405,675,109.77/233,948.81
  6. Step 6: Final answer
    x = 980,580.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.