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Finding the Third Proportional to 292,244 and 630,004

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Solution

The third proportional to 292,244 and 630,004 is: 1,358,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,244 : 630,004 = 630,004 : x
  2. Step 2: Convert to fraction form
    292,244/630,004 = 630,004/x
  3. Step 3: Cross multiply
    292,244x = 630,004 × 630,004
  4. Step 4: Simplify right side
    292,244x = 396,905,040,016
  5. Step 5: Solve for x
    x = 396,905,040,016/292,244
  6. Step 6: Final answer
    x = 1,358,128.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.