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Finding the Third Proportional to 341,287.31 and 459,442.13

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Solution

The third proportional to 341,287.31 and 459,442.13 is: 618,502.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,287.31 : 459,442.13 = 459,442.13 : x
  2. Step 2: Convert to fraction form
    341,287.31/459,442.13 = 459,442.13/x
  3. Step 3: Cross multiply
    341,287.31x = 459,442.13 × 459,442.13
  4. Step 4: Simplify right side
    341,287.31x = 211,087,066,224.52
  5. Step 5: Solve for x
    x = 211,087,066,224.52/341,287.31
  6. Step 6: Final answer
    x = 618,502.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.