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Finding the Third Proportional to 630,777.38 and 943,553.81

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Solution

The third proportional to 630,777.38 and 943,553.81 is: 1,411,423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,777.38 : 943,553.81 = 943,553.81 : x
  2. Step 2: Convert to fraction form
    630,777.38/943,553.81 = 943,553.81/x
  3. Step 3: Cross multiply
    630,777.38x = 943,553.81 × 943,553.81
  4. Step 4: Simplify right side
    630,777.38x = 890,293,797,083.29
  5. Step 5: Solve for x
    x = 890,293,797,083.29/630,777.38
  6. Step 6: Final answer
    x = 1,411,423.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.