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Finding the Third Proportional to 468,420 and 701,346

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Solution

The third proportional to 468,420 and 701,346 is: 1,050,096.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,420 : 701,346 = 701,346 : x
  2. Step 2: Convert to fraction form
    468,420/701,346 = 701,346/x
  3. Step 3: Cross multiply
    468,420x = 701,346 × 701,346
  4. Step 4: Simplify right side
    468,420x = 491,886,211,716
  5. Step 5: Solve for x
    x = 491,886,211,716/468,420
  6. Step 6: Final answer
    x = 1,050,096.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.