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Finding the Third Proportional to 314,442 and 658,044

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Solution

The third proportional to 314,442 and 658,044 is: 1,377,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,442 : 658,044 = 658,044 : x
  2. Step 2: Convert to fraction form
    314,442/658,044 = 658,044/x
  3. Step 3: Cross multiply
    314,442x = 658,044 × 658,044
  4. Step 4: Simplify right side
    314,442x = 433,021,905,936
  5. Step 5: Solve for x
    x = 433,021,905,936/314,442
  6. Step 6: Final answer
    x = 1,377,112.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.