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Finding the Third Proportional to 464,572 and 703,286

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Solution

The third proportional to 464,572 and 703,286 is: 1,064,659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,572 : 703,286 = 703,286 : x
  2. Step 2: Convert to fraction form
    464,572/703,286 = 703,286/x
  3. Step 3: Cross multiply
    464,572x = 703,286 × 703,286
  4. Step 4: Simplify right side
    464,572x = 494,611,197,796
  5. Step 5: Solve for x
    x = 494,611,197,796/464,572
  6. Step 6: Final answer
    x = 1,064,659.94

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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.