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Finding the Third Proportional to 365,603 and 565,000

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Solution

The third proportional to 365,603 and 565,000 is: 873,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,603 : 565,000 = 565,000 : x
  2. Step 2: Convert to fraction form
    365,603/565,000 = 565,000/x
  3. Step 3: Cross multiply
    365,603x = 565,000 × 565,000
  4. Step 4: Simplify right side
    365,603x = 319,225,000,000
  5. Step 5: Solve for x
    x = 319,225,000,000/365,603
  6. Step 6: Final answer
    x = 873,146.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.