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Finding the Third Proportional to 416,164 and 630,283

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Solution

The third proportional to 416,164 and 630,283 is: 954,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,164 : 630,283 = 630,283 : x
  2. Step 2: Convert to fraction form
    416,164/630,283 = 630,283/x
  3. Step 3: Cross multiply
    416,164x = 630,283 × 630,283
  4. Step 4: Simplify right side
    416,164x = 397,256,660,089
  5. Step 5: Solve for x
    x = 397,256,660,089/416,164
  6. Step 6: Final answer
    x = 954,567.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.