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Finding the Third Proportional to 683,240.06 and 973,291.78

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Solution

The third proportional to 683,240.06 and 973,291.78 is: 1,386,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,240.06 : 973,291.78 = 973,291.78 : x
  2. Step 2: Convert to fraction form
    683,240.06/973,291.78 = 973,291.78/x
  3. Step 3: Cross multiply
    683,240.06x = 973,291.78 × 973,291.78
  4. Step 4: Simplify right side
    683,240.06x = 947,296,891,448.80
  5. Step 5: Solve for x
    x = 947,296,891,448.80/683,240.06
  6. Step 6: Final answer
    x = 1,386,477.38

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.