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Finding the Third Proportional to 373,645 and 594,830

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Solution

The third proportional to 373,645 and 594,830 is: 946,948.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,645 : 594,830 = 594,830 : x
  2. Step 2: Convert to fraction form
    373,645/594,830 = 594,830/x
  3. Step 3: Cross multiply
    373,645x = 594,830 × 594,830
  4. Step 4: Simplify right side
    373,645x = 353,822,728,900
  5. Step 5: Solve for x
    x = 353,822,728,900/373,645
  6. Step 6: Final answer
    x = 946,948.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.