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Finding the Third Proportional to 466,848 and 683,712

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Solution

The third proportional to 466,848 and 683,712 is: 1,001,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,848 : 683,712 = 683,712 : x
  2. Step 2: Convert to fraction form
    466,848/683,712 = 683,712/x
  3. Step 3: Cross multiply
    466,848x = 683,712 × 683,712
  4. Step 4: Simplify right side
    466,848x = 467,462,098,944
  5. Step 5: Solve for x
    x = 467,462,098,944/466,848
  6. Step 6: Final answer
    x = 1,001,315.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.