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Finding the Third Proportional to 448,972 and 697,066

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Solution

The third proportional to 448,972 and 697,066 is: 1,082,252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,972 : 697,066 = 697,066 : x
  2. Step 2: Convert to fraction form
    448,972/697,066 = 697,066/x
  3. Step 3: Cross multiply
    448,972x = 697,066 × 697,066
  4. Step 4: Simplify right side
    448,972x = 485,901,008,356
  5. Step 5: Solve for x
    x = 485,901,008,356/448,972
  6. Step 6: Final answer
    x = 1,082,252.36

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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.