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Finding the Third Proportional to 403,304 and 869,462

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Solution

The third proportional to 403,304 and 869,462 is: 1,874,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,304 : 869,462 = 869,462 : x
  2. Step 2: Convert to fraction form
    403,304/869,462 = 869,462/x
  3. Step 3: Cross multiply
    403,304x = 869,462 × 869,462
  4. Step 4: Simplify right side
    403,304x = 755,964,169,444
  5. Step 5: Solve for x
    x = 755,964,169,444/403,304
  6. Step 6: Final answer
    x = 1,874,427.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.