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Finding the Third Proportional to 298,424.25 and 456,350.63

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Solution

The third proportional to 298,424.25 and 456,350.63 is: 697,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,424.25 : 456,350.63 = 456,350.63 : x
  2. Step 2: Convert to fraction form
    298,424.25/456,350.63 = 456,350.63/x
  3. Step 3: Cross multiply
    298,424.25x = 456,350.63 × 456,350.63
  4. Step 4: Simplify right side
    298,424.25x = 208,255,892,937.89
  5. Step 5: Solve for x
    x = 208,255,892,937.89/298,424.25
  6. Step 6: Final answer
    x = 697,851.78

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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.