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Finding the Third Proportional to 365,376 and 573,306

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Solution

The third proportional to 365,376 and 573,306 is: 899,565.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,376 : 573,306 = 573,306 : x
  2. Step 2: Convert to fraction form
    365,376/573,306 = 573,306/x
  3. Step 3: Cross multiply
    365,376x = 573,306 × 573,306
  4. Step 4: Simplify right side
    365,376x = 328,679,769,636
  5. Step 5: Solve for x
    x = 328,679,769,636/365,376
  6. Step 6: Final answer
    x = 899,565.84

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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.