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Finding the Third Proportional to 450,772 and 697,623

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Solution

The third proportional to 450,772 and 697,623 is: 1,079,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,772 : 697,623 = 697,623 : x
  2. Step 2: Convert to fraction form
    450,772/697,623 = 697,623/x
  3. Step 3: Cross multiply
    450,772x = 697,623 × 697,623
  4. Step 4: Simplify right side
    450,772x = 486,677,850,129
  5. Step 5: Solve for x
    x = 486,677,850,129/450,772
  6. Step 6: Final answer
    x = 1,079,654.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.