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Finding the Third Proportional to 427,922 and 662,253

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Solution

The third proportional to 427,922 and 662,253 is: 1,024,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,922 : 662,253 = 662,253 : x
  2. Step 2: Convert to fraction form
    427,922/662,253 = 662,253/x
  3. Step 3: Cross multiply
    427,922x = 662,253 × 662,253
  4. Step 4: Simplify right side
    427,922x = 438,579,036,009
  5. Step 5: Solve for x
    x = 438,579,036,009/427,922
  6. Step 6: Final answer
    x = 1,024,904.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.