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Finding the Third Proportional to 382,848 and 563,697

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Solution

The third proportional to 382,848 and 563,697 is: 829,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,848 : 563,697 = 563,697 : x
  2. Step 2: Convert to fraction form
    382,848/563,697 = 563,697/x
  3. Step 3: Cross multiply
    382,848x = 563,697 × 563,697
  4. Step 4: Simplify right side
    382,848x = 317,754,307,809
  5. Step 5: Solve for x
    x = 317,754,307,809/382,848
  6. Step 6: Final answer
    x = 829,975.10

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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.