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Finding the Third Proportional to 385,692 and 830,586

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Solution

The third proportional to 385,692 and 830,586 is: 1,788,663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,692 : 830,586 = 830,586 : x
  2. Step 2: Convert to fraction form
    385,692/830,586 = 830,586/x
  3. Step 3: Cross multiply
    385,692x = 830,586 × 830,586
  4. Step 4: Simplify right side
    385,692x = 689,873,103,396
  5. Step 5: Solve for x
    x = 689,873,103,396/385,692
  6. Step 6: Final answer
    x = 1,788,663.24

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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.