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Finding the Third Proportional to 629,304 and 943,776

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Solution

The third proportional to 629,304 and 943,776 is: 1,415,394.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,304 : 943,776 = 943,776 : x
  2. Step 2: Convert to fraction form
    629,304/943,776 = 943,776/x
  3. Step 3: Cross multiply
    629,304x = 943,776 × 943,776
  4. Step 4: Simplify right side
    629,304x = 890,713,138,176
  5. Step 5: Solve for x
    x = 890,713,138,176/629,304
  6. Step 6: Final answer
    x = 1,415,394.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.