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Finding the Third Proportional to 468,084 and 706,248

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Solution

The third proportional to 468,084 and 706,248 is: 1,065,591.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,084 : 706,248 = 706,248 : x
  2. Step 2: Convert to fraction form
    468,084/706,248 = 706,248/x
  3. Step 3: Cross multiply
    468,084x = 706,248 × 706,248
  4. Step 4: Simplify right side
    468,084x = 498,786,237,504
  5. Step 5: Solve for x
    x = 498,786,237,504/468,084
  6. Step 6: Final answer
    x = 1,065,591.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.