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Finding the Third Proportional to 500,038 and 794,343

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Solution

The third proportional to 500,038 and 794,343 is: 1,261,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,038 : 794,343 = 794,343 : x
  2. Step 2: Convert to fraction form
    500,038/794,343 = 794,343/x
  3. Step 3: Cross multiply
    500,038x = 794,343 × 794,343
  4. Step 4: Simplify right side
    500,038x = 630,980,801,649
  5. Step 5: Solve for x
    x = 630,980,801,649/500,038
  6. Step 6: Final answer
    x = 1,261,865.70

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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.