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Finding the Third Proportional to 353,656 and 540,813

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Solution

The third proportional to 353,656 and 540,813 is: 827,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,656 : 540,813 = 540,813 : x
  2. Step 2: Convert to fraction form
    353,656/540,813 = 540,813/x
  3. Step 3: Cross multiply
    353,656x = 540,813 × 540,813
  4. Step 4: Simplify right side
    353,656x = 292,478,700,969
  5. Step 5: Solve for x
    x = 292,478,700,969/353,656
  6. Step 6: Final answer
    x = 827,014.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.