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Finding the Third Proportional to 283,779 and 425,709

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Solution

The third proportional to 283,779 and 425,709 is: 638,624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,779 : 425,709 = 425,709 : x
  2. Step 2: Convert to fraction form
    283,779/425,709 = 425,709/x
  3. Step 3: Cross multiply
    283,779x = 425,709 × 425,709
  4. Step 4: Simplify right side
    283,779x = 181,228,152,681
  5. Step 5: Solve for x
    x = 181,228,152,681/283,779
  6. Step 6: Final answer
    x = 638,624.26

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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.