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Finding the Third Proportional to 411,434 and 545,929

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Solution

The third proportional to 411,434 and 545,929 is: 724,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,434 : 545,929 = 545,929 : x
  2. Step 2: Convert to fraction form
    411,434/545,929 = 545,929/x
  3. Step 3: Cross multiply
    411,434x = 545,929 × 545,929
  4. Step 4: Simplify right side
    411,434x = 298,038,473,041
  5. Step 5: Solve for x
    x = 298,038,473,041/411,434
  6. Step 6: Final answer
    x = 724,389.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.