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Finding the Third Proportional to 365,313 and 573,213

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Solution

The third proportional to 365,313 and 573,213 is: 899,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,313 : 573,213 = 573,213 : x
  2. Step 2: Convert to fraction form
    365,313/573,213 = 573,213/x
  3. Step 3: Cross multiply
    365,313x = 573,213 × 573,213
  4. Step 4: Simplify right side
    365,313x = 328,573,143,369
  5. Step 5: Solve for x
    x = 328,573,143,369/365,313
  6. Step 6: Final answer
    x = 899,429.10

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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.