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Finding the Third Proportional to 466,836 and 679,842

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Solution

The third proportional to 466,836 and 679,842 is: 990,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,836 : 679,842 = 679,842 : x
  2. Step 2: Convert to fraction form
    466,836/679,842 = 679,842/x
  3. Step 3: Cross multiply
    466,836x = 679,842 × 679,842
  4. Step 4: Simplify right side
    466,836x = 462,185,144,964
  5. Step 5: Solve for x
    x = 462,185,144,964/466,836
  6. Step 6: Final answer
    x = 990,037.50

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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.