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Finding the Third Proportional to 350,848.13 and 458,802.56

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Solution

The third proportional to 350,848.13 and 458,802.56 is: 599,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,848.13 : 458,802.56 = 458,802.56 : x
  2. Step 2: Convert to fraction form
    350,848.13/458,802.56 = 458,802.56/x
  3. Step 3: Cross multiply
    350,848.13x = 458,802.56 × 458,802.56
  4. Step 4: Simplify right side
    350,848.13x = 210,499,791,356.57
  5. Step 5: Solve for x
    x = 210,499,791,356.57/350,848.13
  6. Step 6: Final answer
    x = 599,974.11

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.