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Finding the Third Proportional to 683,218.13 and 973,258.03

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Solution

The third proportional to 683,218.13 and 973,258.03 is: 1,386,425.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,218.13 : 973,258.03 = 973,258.03 : x
  2. Step 2: Convert to fraction form
    683,218.13/973,258.03 = 973,258.03/x
  3. Step 3: Cross multiply
    683,218.13x = 973,258.03 × 973,258.03
  4. Step 4: Simplify right side
    683,218.13x = 947,231,195,392.63
  5. Step 5: Solve for x
    x = 947,231,195,392.63/683,218.13
  6. Step 6: Final answer
    x = 1,386,425.74

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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.