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Finding the Third Proportional to 297,921 and 702,684

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Solution

The third proportional to 297,921 and 702,684 is: 1,657,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,921 : 702,684 = 702,684 : x
  2. Step 2: Convert to fraction form
    297,921/702,684 = 702,684/x
  3. Step 3: Cross multiply
    297,921x = 702,684 × 702,684
  4. Step 4: Simplify right side
    297,921x = 493,764,803,856
  5. Step 5: Solve for x
    x = 493,764,803,856/297,921
  6. Step 6: Final answer
    x = 1,657,368.24

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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.