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Finding the Third Proportional to 526,556 and 794,487

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Solution

The third proportional to 526,556 and 794,487 is: 1,198,751.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,556 : 794,487 = 794,487 : x
  2. Step 2: Convert to fraction form
    526,556/794,487 = 794,487/x
  3. Step 3: Cross multiply
    526,556x = 794,487 × 794,487
  4. Step 4: Simplify right side
    526,556x = 631,209,593,169
  5. Step 5: Solve for x
    x = 631,209,593,169/526,556
  6. Step 6: Final answer
    x = 1,198,751.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.