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Finding the Third Proportional to 549,783 and 774,201

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Solution

The third proportional to 549,783 and 774,201 is: 1,090,225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,783 : 774,201 = 774,201 : x
  2. Step 2: Convert to fraction form
    549,783/774,201 = 774,201/x
  3. Step 3: Cross multiply
    549,783x = 774,201 × 774,201
  4. Step 4: Simplify right side
    549,783x = 599,387,188,401
  5. Step 5: Solve for x
    x = 599,387,188,401/549,783
  6. Step 6: Final answer
    x = 1,090,225.03

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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.