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Finding the Third Proportional to 540,604 and 829,223

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Solution

The third proportional to 540,604 and 829,223 is: 1,271,930.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,604 : 829,223 = 829,223 : x
  2. Step 2: Convert to fraction form
    540,604/829,223 = 829,223/x
  3. Step 3: Cross multiply
    540,604x = 829,223 × 829,223
  4. Step 4: Simplify right side
    540,604x = 687,610,783,729
  5. Step 5: Solve for x
    x = 687,610,783,729/540,604
  6. Step 6: Final answer
    x = 1,271,930.63

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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.