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Finding the Third Proportional to 353,403 and 736,614

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Solution

The third proportional to 353,403 and 736,614 is: 1,535,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,403 : 736,614 = 736,614 : x
  2. Step 2: Convert to fraction form
    353,403/736,614 = 736,614/x
  3. Step 3: Cross multiply
    353,403x = 736,614 × 736,614
  4. Step 4: Simplify right side
    353,403x = 542,600,184,996
  5. Step 5: Solve for x
    x = 542,600,184,996/353,403
  6. Step 6: Final answer
    x = 1,535,358.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.