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Finding the Third Proportional to 299,148.19 and 656,434.13

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Solution

The third proportional to 299,148.19 and 656,434.13 is: 1,440,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,148.19 : 656,434.13 = 656,434.13 : x
  2. Step 2: Convert to fraction form
    299,148.19/656,434.13 = 656,434.13/x
  3. Step 3: Cross multiply
    299,148.19x = 656,434.13 × 656,434.13
  4. Step 4: Simplify right side
    299,148.19x = 430,905,760,464.52
  5. Step 5: Solve for x
    x = 430,905,760,464.52/299,148.19
  6. Step 6: Final answer
    x = 1,440,442.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.