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Finding the Third Proportional to 467,488 and 668,508

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Solution

The third proportional to 467,488 and 668,508 is: 955,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,488 : 668,508 = 668,508 : x
  2. Step 2: Convert to fraction form
    467,488/668,508 = 668,508/x
  3. Step 3: Cross multiply
    467,488x = 668,508 × 668,508
  4. Step 4: Simplify right side
    467,488x = 446,902,946,064
  5. Step 5: Solve for x
    x = 446,902,946,064/467,488
  6. Step 6: Final answer
    x = 955,966.67

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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.