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Finding the Third Proportional to 297,558 and 702,306

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Solution

The third proportional to 297,558 and 702,306 is: 1,657,605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,558 : 702,306 = 702,306 : x
  2. Step 2: Convert to fraction form
    297,558/702,306 = 702,306/x
  3. Step 3: Cross multiply
    297,558x = 702,306 × 702,306
  4. Step 4: Simplify right side
    297,558x = 493,233,717,636
  5. Step 5: Solve for x
    x = 493,233,717,636/297,558
  6. Step 6: Final answer
    x = 1,657,605.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.