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Finding the Third Proportional to 385,625 and 830,460

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Solution

The third proportional to 385,625 and 830,460 is: 1,788,431.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,625 : 830,460 = 830,460 : x
  2. Step 2: Convert to fraction form
    385,625/830,460 = 830,460/x
  3. Step 3: Cross multiply
    385,625x = 830,460 × 830,460
  4. Step 4: Simplify right side
    385,625x = 689,663,811,600
  5. Step 5: Solve for x
    x = 689,663,811,600/385,625
  6. Step 6: Final answer
    x = 1,788,431.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.