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Finding the Third Proportional to 468,060 and 668,840

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Solution

The third proportional to 468,060 and 668,840 is: 955,747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,060 : 668,840 = 668,840 : x
  2. Step 2: Convert to fraction form
    468,060/668,840 = 668,840/x
  3. Step 3: Cross multiply
    468,060x = 668,840 × 668,840
  4. Step 4: Simplify right side
    468,060x = 447,346,945,600
  5. Step 5: Solve for x
    x = 447,346,945,600/468,060
  6. Step 6: Final answer
    x = 955,747.01

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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.