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Finding the Third Proportional to 297,904 and 702,644

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Solution

The third proportional to 297,904 and 702,644 is: 1,657,274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,904 : 702,644 = 702,644 : x
  2. Step 2: Convert to fraction form
    297,904/702,644 = 702,644/x
  3. Step 3: Cross multiply
    297,904x = 702,644 × 702,644
  4. Step 4: Simplify right side
    297,904x = 493,708,590,736
  5. Step 5: Solve for x
    x = 493,708,590,736/297,904
  6. Step 6: Final answer
    x = 1,657,274.12

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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.