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Finding the Third Proportional to 480,738 and 696,321

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Solution

The third proportional to 480,738 and 696,321 is: 1,008,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,738 : 696,321 = 696,321 : x
  2. Step 2: Convert to fraction form
    480,738/696,321 = 696,321/x
  3. Step 3: Cross multiply
    480,738x = 696,321 × 696,321
  4. Step 4: Simplify right side
    480,738x = 484,862,935,041
  5. Step 5: Solve for x
    x = 484,862,935,041/480,738
  6. Step 6: Final answer
    x = 1,008,580.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.