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Finding the Third Proportional to 297,642 and 702,480

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Solution

The third proportional to 297,642 and 702,480 is: 1,657,958.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,642 : 702,480 = 702,480 : x
  2. Step 2: Convert to fraction form
    297,642/702,480 = 702,480/x
  3. Step 3: Cross multiply
    297,642x = 702,480 × 702,480
  4. Step 4: Simplify right side
    297,642x = 493,478,150,400
  5. Step 5: Solve for x
    x = 493,478,150,400/297,642
  6. Step 6: Final answer
    x = 1,657,958.72

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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.