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Finding the Third Proportional to 427,968 and 653,373

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Solution

The third proportional to 427,968 and 653,373 is: 997,495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,968 : 653,373 = 653,373 : x
  2. Step 2: Convert to fraction form
    427,968/653,373 = 653,373/x
  3. Step 3: Cross multiply
    427,968x = 653,373 × 653,373
  4. Step 4: Simplify right side
    427,968x = 426,896,277,129
  5. Step 5: Solve for x
    x = 426,896,277,129/427,968
  6. Step 6: Final answer
    x = 997,495.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.