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Finding the Third Proportional to 468,085 and 685,465

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Solution

The third proportional to 468,085 and 685,465 is: 1,003,796.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,085 : 685,465 = 685,465 : x
  2. Step 2: Convert to fraction form
    468,085/685,465 = 685,465/x
  3. Step 3: Cross multiply
    468,085x = 685,465 × 685,465
  4. Step 4: Simplify right side
    468,085x = 469,862,266,225
  5. Step 5: Solve for x
    x = 469,862,266,225/468,085
  6. Step 6: Final answer
    x = 1,003,796.89

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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.