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Finding the Third Proportional to 594,043 and 851,259

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Solution

The third proportional to 594,043 and 851,259 is: 1,219,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,043 : 851,259 = 851,259 : x
  2. Step 2: Convert to fraction form
    594,043/851,259 = 851,259/x
  3. Step 3: Cross multiply
    594,043x = 851,259 × 851,259
  4. Step 4: Simplify right side
    594,043x = 724,641,885,081
  5. Step 5: Solve for x
    x = 724,641,885,081/594,043
  6. Step 6: Final answer
    x = 1,219,847.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.