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Finding the Third Proportional to 374,060 and 565,019

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Solution

The third proportional to 374,060 and 565,019 is: 853,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,060 : 565,019 = 565,019 : x
  2. Step 2: Convert to fraction form
    374,060/565,019 = 565,019/x
  3. Step 3: Cross multiply
    374,060x = 565,019 × 565,019
  4. Step 4: Simplify right side
    374,060x = 319,246,470,361
  5. Step 5: Solve for x
    x = 319,246,470,361/374,060
  6. Step 6: Final answer
    x = 853,463.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.