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Finding the Third Proportional to 468,094 and 685,479

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Solution

The third proportional to 468,094 and 685,479 is: 1,003,818.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,094 : 685,479 = 685,479 : x
  2. Step 2: Convert to fraction form
    468,094/685,479 = 685,479/x
  3. Step 3: Cross multiply
    468,094x = 685,479 × 685,479
  4. Step 4: Simplify right side
    468,094x = 469,881,459,441
  5. Step 5: Solve for x
    x = 469,881,459,441/468,094
  6. Step 6: Final answer
    x = 1,003,818.59

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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.