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Finding the Third Proportional to 346,316.50 and 518,081

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Solution

The third proportional to 346,316.50 and 518,081 is: 775,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,316.50 : 518,081 = 518,081 : x
  2. Step 2: Convert to fraction form
    346,316.50/518,081 = 518,081/x
  3. Step 3: Cross multiply
    346,316.50x = 518,081 × 518,081
  4. Step 4: Simplify right side
    346,316.50x = 268,407,922,561
  5. Step 5: Solve for x
    x = 268,407,922,561/346,316.50
  6. Step 6: Final answer
    x = 775,036.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.