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Finding the Third Proportional to 500,026 and 794,328

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Solution

The third proportional to 500,026 and 794,328 is: 1,261,848.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,026 : 794,328 = 794,328 : x
  2. Step 2: Convert to fraction form
    500,026/794,328 = 794,328/x
  3. Step 3: Cross multiply
    500,026x = 794,328 × 794,328
  4. Step 4: Simplify right side
    500,026x = 630,956,971,584
  5. Step 5: Solve for x
    x = 630,956,971,584/500,026
  6. Step 6: Final answer
    x = 1,261,848.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.