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Finding the Third Proportional to 428,784 and 630,330

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Solution

The third proportional to 428,784 and 630,330 is: 926,610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,784 : 630,330 = 630,330 : x
  2. Step 2: Convert to fraction form
    428,784/630,330 = 630,330/x
  3. Step 3: Cross multiply
    428,784x = 630,330 × 630,330
  4. Step 4: Simplify right side
    428,784x = 397,315,908,900
  5. Step 5: Solve for x
    x = 397,315,908,900/428,784
  6. Step 6: Final answer
    x = 926,610.86

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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.