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Finding the Third Proportional to 466,975.13 and 683,808.75

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Solution

The third proportional to 466,975.13 and 683,808.75 is: 1,001,326.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,975.13 : 683,808.75 = 683,808.75 : x
  2. Step 2: Convert to fraction form
    466,975.13/683,808.75 = 683,808.75/x
  3. Step 3: Cross multiply
    466,975.13x = 683,808.75 × 683,808.75
  4. Step 4: Simplify right side
    466,975.13x = 467,594,406,576.56
  5. Step 5: Solve for x
    x = 467,594,406,576.56/466,975.13
  6. Step 6: Final answer
    x = 1,001,326.16

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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.