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Finding the Third Proportional to 519,556 and 801,222

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Solution

The third proportional to 519,556 and 801,222 is: 1,235,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,556 : 801,222 = 801,222 : x
  2. Step 2: Convert to fraction form
    519,556/801,222 = 801,222/x
  3. Step 3: Cross multiply
    519,556x = 801,222 × 801,222
  4. Step 4: Simplify right side
    519,556x = 641,956,693,284
  5. Step 5: Solve for x
    x = 641,956,693,284/519,556
  6. Step 6: Final answer
    x = 1,235,587.10

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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.