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Finding the Third Proportional to 285,851 and 564,473

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Solution

The third proportional to 285,851 and 564,473 is: 1,114,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,851 : 564,473 = 564,473 : x
  2. Step 2: Convert to fraction form
    285,851/564,473 = 564,473/x
  3. Step 3: Cross multiply
    285,851x = 564,473 × 564,473
  4. Step 4: Simplify right side
    285,851x = 318,629,767,729
  5. Step 5: Solve for x
    x = 318,629,767,729/285,851
  6. Step 6: Final answer
    x = 1,114,670.82

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.