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Finding the Third Proportional to 559,026 and 790,263

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Solution

The third proportional to 559,026 and 790,263 is: 1,117,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,026 : 790,263 = 790,263 : x
  2. Step 2: Convert to fraction form
    559,026/790,263 = 790,263/x
  3. Step 3: Cross multiply
    559,026x = 790,263 × 790,263
  4. Step 4: Simplify right side
    559,026x = 624,515,609,169
  5. Step 5: Solve for x
    x = 624,515,609,169/559,026
  6. Step 6: Final answer
    x = 1,117,149.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.