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Finding the Third Proportional to 365,319 and 573,219

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Solution

The third proportional to 365,319 and 573,219 is: 899,433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,319 : 573,219 = 573,219 : x
  2. Step 2: Convert to fraction form
    365,319/573,219 = 573,219/x
  3. Step 3: Cross multiply
    365,319x = 573,219 × 573,219
  4. Step 4: Simplify right side
    365,319x = 328,580,021,961
  5. Step 5: Solve for x
    x = 328,580,021,961/365,319
  6. Step 6: Final answer
    x = 899,433.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.