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Finding the Third Proportional to 350,466.75 and 546,886.69

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Solution

The third proportional to 350,466.75 and 546,886.69 is: 853,390.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,466.75 : 546,886.69 = 546,886.69 : x
  2. Step 2: Convert to fraction form
    350,466.75/546,886.69 = 546,886.69/x
  3. Step 3: Cross multiply
    350,466.75x = 546,886.69 × 546,886.69
  4. Step 4: Simplify right side
    350,466.75x = 299,085,048,964.72
  5. Step 5: Solve for x
    x = 299,085,048,964.72/350,466.75
  6. Step 6: Final answer
    x = 853,390.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.