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Finding the Third Proportional to 382,740 and 563,037

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Solution

The third proportional to 382,740 and 563,037 is: 828,266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,740 : 563,037 = 563,037 : x
  2. Step 2: Convert to fraction form
    382,740/563,037 = 563,037/x
  3. Step 3: Cross multiply
    382,740x = 563,037 × 563,037
  4. Step 4: Simplify right side
    382,740x = 317,010,663,369
  5. Step 5: Solve for x
    x = 317,010,663,369/382,740
  6. Step 6: Final answer
    x = 828,266.35

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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.