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Finding the Third Proportional to 658,454 and 894,326

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Solution

The third proportional to 658,454 and 894,326 is: 1,214,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,454 : 894,326 = 894,326 : x
  2. Step 2: Convert to fraction form
    658,454/894,326 = 894,326/x
  3. Step 3: Cross multiply
    658,454x = 894,326 × 894,326
  4. Step 4: Simplify right side
    658,454x = 799,818,994,276
  5. Step 5: Solve for x
    x = 799,818,994,276/658,454
  6. Step 6: Final answer
    x = 1,214,692.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.