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Finding the Third Proportional to 310,952 and 644,044

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Solution

The third proportional to 310,952 and 644,044 is: 1,333,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,952 : 644,044 = 644,044 : x
  2. Step 2: Convert to fraction form
    310,952/644,044 = 644,044/x
  3. Step 3: Cross multiply
    310,952x = 644,044 × 644,044
  4. Step 4: Simplify right side
    310,952x = 414,792,673,936
  5. Step 5: Solve for x
    x = 414,792,673,936/310,952
  6. Step 6: Final answer
    x = 1,333,944.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.