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Finding the Third Proportional to 384,859 and 573,184

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Solution

The third proportional to 384,859 and 573,184 is: 853,663.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,859 : 573,184 = 573,184 : x
  2. Step 2: Convert to fraction form
    384,859/573,184 = 573,184/x
  3. Step 3: Cross multiply
    384,859x = 573,184 × 573,184
  4. Step 4: Simplify right side
    384,859x = 328,539,897,856
  5. Step 5: Solve for x
    x = 328,539,897,856/384,859
  6. Step 6: Final answer
    x = 853,663.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.