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Finding the Third Proportional to 385,617 and 830,432

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Solution

The third proportional to 385,617 and 830,432 is: 1,788,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,617 : 830,432 = 830,432 : x
  2. Step 2: Convert to fraction form
    385,617/830,432 = 830,432/x
  3. Step 3: Cross multiply
    385,617x = 830,432 × 830,432
  4. Step 4: Simplify right side
    385,617x = 689,617,306,624
  5. Step 5: Solve for x
    x = 689,617,306,624/385,617
  6. Step 6: Final answer
    x = 1,788,347.78

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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.