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Finding the Third Proportional to 380,858 and 559,501

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Solution

The third proportional to 380,858 and 559,501 is: 821,937.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,858 : 559,501 = 559,501 : x
  2. Step 2: Convert to fraction form
    380,858/559,501 = 559,501/x
  3. Step 3: Cross multiply
    380,858x = 559,501 × 559,501
  4. Step 4: Simplify right side
    380,858x = 313,041,369,001
  5. Step 5: Solve for x
    x = 313,041,369,001/380,858
  6. Step 6: Final answer
    x = 821,937.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.