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Finding the Third Proportional to 385,662.75 and 830,590.88

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Solution

The third proportional to 385,662.75 and 830,590.88 is: 1,788,819.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,662.75 : 830,590.88 = 830,590.88 : x
  2. Step 2: Convert to fraction form
    385,662.75/830,590.88 = 830,590.88/x
  3. Step 3: Cross multiply
    385,662.75x = 830,590.88 × 830,590.88
  4. Step 4: Simplify right side
    385,662.75x = 689,881,201,633.27
  5. Step 5: Solve for x
    x = 689,881,201,633.27/385,662.75
  6. Step 6: Final answer
    x = 1,788,819.90

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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.