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Finding the Third Proportional to 428,877 and 630,477

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Solution

The third proportional to 428,877 and 630,477 is: 926,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,877 : 630,477 = 630,477 : x
  2. Step 2: Convert to fraction form
    428,877/630,477 = 630,477/x
  3. Step 3: Cross multiply
    428,877x = 630,477 × 630,477
  4. Step 4: Simplify right side
    428,877x = 397,501,247,529
  5. Step 5: Solve for x
    x = 397,501,247,529/428,877
  6. Step 6: Final answer
    x = 926,842.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.