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Finding the Third Proportional to 297,684 and 702,582

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Solution

The third proportional to 297,684 and 702,582 is: 1,658,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,684 : 702,582 = 702,582 : x
  2. Step 2: Convert to fraction form
    297,684/702,582 = 702,582/x
  3. Step 3: Cross multiply
    297,684x = 702,582 × 702,582
  4. Step 4: Simplify right side
    297,684x = 493,621,466,724
  5. Step 5: Solve for x
    x = 493,621,466,724/297,684
  6. Step 6: Final answer
    x = 1,658,206.24

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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.