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Finding the Third Proportional to 578,590.50 and 1,185,369

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Solution

The third proportional to 578,590.50 and 1,185,369 is: 2,428,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,590.50 : 1,185,369 = 1,185,369 : x
  2. Step 2: Convert to fraction form
    578,590.50/1,185,369 = 1,185,369/x
  3. Step 3: Cross multiply
    578,590.50x = 1,185,369 × 1,185,369
  4. Step 4: Simplify right side
    578,590.50x = 1,405,099,666,161
  5. Step 5: Solve for x
    x = 1,405,099,666,161/578,590.50
  6. Step 6: Final answer
    x = 2,428,487.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.