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Finding the Third Proportional to 683,233.88 and 973,279.13

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Solution

The third proportional to 683,233.88 and 973,279.13 is: 1,386,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,233.88 : 973,279.13 = 973,279.13 : x
  2. Step 2: Convert to fraction form
    683,233.88/973,279.13 = 973,279.13/x
  3. Step 3: Cross multiply
    683,233.88x = 973,279.13 × 973,279.13
  4. Step 4: Simplify right side
    683,233.88x = 947,272,255,160.77
  5. Step 5: Solve for x
    x = 947,272,255,160.77/683,233.88
  6. Step 6: Final answer
    x = 1,386,453.88

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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.