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Finding the Third Proportional to 299,042 and 653,124

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Solution

The third proportional to 299,042 and 653,124 is: 1,426,458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,042 : 653,124 = 653,124 : x
  2. Step 2: Convert to fraction form
    299,042/653,124 = 653,124/x
  3. Step 3: Cross multiply
    299,042x = 653,124 × 653,124
  4. Step 4: Simplify right side
    299,042x = 426,570,959,376
  5. Step 5: Solve for x
    x = 426,570,959,376/299,042
  6. Step 6: Final answer
    x = 1,426,458.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.