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Finding the Third Proportional to 464,499 and 703,170

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Solution

The third proportional to 464,499 and 703,170 is: 1,064,476.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,499 : 703,170 = 703,170 : x
  2. Step 2: Convert to fraction form
    464,499/703,170 = 703,170/x
  3. Step 3: Cross multiply
    464,499x = 703,170 × 703,170
  4. Step 4: Simplify right side
    464,499x = 494,448,048,900
  5. Step 5: Solve for x
    x = 494,448,048,900/464,499
  6. Step 6: Final answer
    x = 1,064,476.02

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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.