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Finding the Third Proportional to 365,514 and 573,513

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Solution

The third proportional to 365,514 and 573,513 is: 899,875.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,514 : 573,513 = 573,513 : x
  2. Step 2: Convert to fraction form
    365,514/573,513 = 573,513/x
  3. Step 3: Cross multiply
    365,514x = 573,513 × 573,513
  4. Step 4: Simplify right side
    365,514x = 328,917,161,169
  5. Step 5: Solve for x
    x = 328,917,161,169/365,514
  6. Step 6: Final answer
    x = 899,875.69

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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.