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Finding the Third Proportional to 241,547 and 328,011

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Solution

The third proportional to 241,547 and 328,011 is: 445,425.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,547 : 328,011 = 328,011 : x
  2. Step 2: Convert to fraction form
    241,547/328,011 = 328,011/x
  3. Step 3: Cross multiply
    241,547x = 328,011 × 328,011
  4. Step 4: Simplify right side
    241,547x = 107,591,216,121
  5. Step 5: Solve for x
    x = 107,591,216,121/241,547
  6. Step 6: Final answer
    x = 445,425.59

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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.