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Finding the Third Proportional to 572,024 and 838,906

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Solution

The third proportional to 572,024 and 838,906 is: 1,230,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,024 : 838,906 = 838,906 : x
  2. Step 2: Convert to fraction form
    572,024/838,906 = 838,906/x
  3. Step 3: Cross multiply
    572,024x = 838,906 × 838,906
  4. Step 4: Simplify right side
    572,024x = 703,763,276,836
  5. Step 5: Solve for x
    x = 703,763,276,836/572,024
  6. Step 6: Final answer
    x = 1,230,303.76

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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.