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Finding the Third Proportional to 299,070 and 444,282

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Solution

The third proportional to 299,070 and 444,282 is: 660,000.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,070 : 444,282 = 444,282 : x
  2. Step 2: Convert to fraction form
    299,070/444,282 = 444,282/x
  3. Step 3: Cross multiply
    299,070x = 444,282 × 444,282
  4. Step 4: Simplify right side
    299,070x = 197,386,495,524
  5. Step 5: Solve for x
    x = 197,386,495,524/299,070
  6. Step 6: Final answer
    x = 660,000.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.