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Finding the Third Proportional to 401,804 and 545,700

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Solution

The third proportional to 401,804 and 545,700 is: 741,128.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,804 : 545,700 = 545,700 : x
  2. Step 2: Convert to fraction form
    401,804/545,700 = 545,700/x
  3. Step 3: Cross multiply
    401,804x = 545,700 × 545,700
  4. Step 4: Simplify right side
    401,804x = 297,788,490,000
  5. Step 5: Solve for x
    x = 297,788,490,000/401,804
  6. Step 6: Final answer
    x = 741,128.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.