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Finding the Third Proportional to 624,553.66 and 1,298,172.45

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Solution

The third proportional to 624,553.66 and 1,298,172.45 is: 2,698,329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,553.66 : 1,298,172.45 = 1,298,172.45 : x
  2. Step 2: Convert to fraction form
    624,553.66/1,298,172.45 = 1,298,172.45/x
  3. Step 3: Cross multiply
    624,553.66x = 1,298,172.45 × 1,298,172.45
  4. Step 4: Simplify right side
    624,553.66x = 1,685,251,697,768.64
  5. Step 5: Solve for x
    x = 1,685,251,697,768.64/624,553.66
  6. Step 6: Final answer
    x = 2,698,329.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.