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Finding the Third Proportional to 365,310 and 573,208

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Solution

The third proportional to 365,310 and 573,208 is: 899,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,310 : 573,208 = 573,208 : x
  2. Step 2: Convert to fraction form
    365,310/573,208 = 573,208/x
  3. Step 3: Cross multiply
    365,310x = 573,208 × 573,208
  4. Step 4: Simplify right side
    365,310x = 328,567,411,264
  5. Step 5: Solve for x
    x = 328,567,411,264/365,310
  6. Step 6: Final answer
    x = 899,420.80

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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.