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Finding the Third Proportional to 442,829 and 683,886

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Solution

The third proportional to 442,829 and 683,886 is: 1,056,164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,829 : 683,886 = 683,886 : x
  2. Step 2: Convert to fraction form
    442,829/683,886 = 683,886/x
  3. Step 3: Cross multiply
    442,829x = 683,886 × 683,886
  4. Step 4: Simplify right side
    442,829x = 467,700,060,996
  5. Step 5: Solve for x
    x = 467,700,060,996/442,829
  6. Step 6: Final answer
    x = 1,056,164.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.