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Finding the Third Proportional to 630,950 and 953,948

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Solution

The third proportional to 630,950 and 953,948 is: 1,442,296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,950 : 953,948 = 953,948 : x
  2. Step 2: Convert to fraction form
    630,950/953,948 = 953,948/x
  3. Step 3: Cross multiply
    630,950x = 953,948 × 953,948
  4. Step 4: Simplify right side
    630,950x = 910,016,786,704
  5. Step 5: Solve for x
    x = 910,016,786,704/630,950
  6. Step 6: Final answer
    x = 1,442,296.20

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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.