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Finding the Third Proportional to 468,294.75 and 697,258.13

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Solution

The third proportional to 468,294.75 and 697,258.13 is: 1,038,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,294.75 : 697,258.13 = 697,258.13 : x
  2. Step 2: Convert to fraction form
    468,294.75/697,258.13 = 697,258.13/x
  3. Step 3: Cross multiply
    468,294.75x = 697,258.13 × 697,258.13
  4. Step 4: Simplify right side
    468,294.75x = 486,168,892,878.52
  5. Step 5: Solve for x
    x = 486,168,892,878.52/468,294.75
  6. Step 6: Final answer
    x = 1,038,168.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.