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Finding the Third Proportional to 382,050 and 830,435.63

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Solution

The third proportional to 382,050 and 830,435.63 is: 1,805,060.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,050 : 830,435.63 = 830,435.63 : x
  2. Step 2: Convert to fraction form
    382,050/830,435.63 = 830,435.63/x
  3. Step 3: Cross multiply
    382,050x = 830,435.63 × 830,435.63
  4. Step 4: Simplify right side
    382,050x = 689,623,327,269.14
  5. Step 5: Solve for x
    x = 689,623,327,269.14/382,050
  6. Step 6: Final answer
    x = 1,805,060.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.