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Finding the Third Proportional to 468,000 and 668,784

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Solution

The third proportional to 468,000 and 668,784 is: 955,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,000 : 668,784 = 668,784 : x
  2. Step 2: Convert to fraction form
    468,000/668,784 = 668,784/x
  3. Step 3: Cross multiply
    468,000x = 668,784 × 668,784
  4. Step 4: Simplify right side
    468,000x = 447,272,038,656
  5. Step 5: Solve for x
    x = 447,272,038,656/468,000
  6. Step 6: Final answer
    x = 955,709.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.