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Finding the Third Proportional to 297,628 and 702,460

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Solution

The third proportional to 297,628 and 702,460 is: 1,657,942.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,628 : 702,460 = 702,460 : x
  2. Step 2: Convert to fraction form
    297,628/702,460 = 702,460/x
  3. Step 3: Cross multiply
    297,628x = 702,460 × 702,460
  4. Step 4: Simplify right side
    297,628x = 493,450,051,600
  5. Step 5: Solve for x
    x = 493,450,051,600/297,628
  6. Step 6: Final answer
    x = 1,657,942.30

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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.