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Finding the Third Proportional to 297,616 and 456,038

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Solution

The third proportional to 297,616 and 456,038 is: 698,788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,616 : 456,038 = 456,038 : x
  2. Step 2: Convert to fraction form
    297,616/456,038 = 456,038/x
  3. Step 3: Cross multiply
    297,616x = 456,038 × 456,038
  4. Step 4: Simplify right side
    297,616x = 207,970,657,444
  5. Step 5: Solve for x
    x = 207,970,657,444/297,616
  6. Step 6: Final answer
    x = 698,788.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.