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Finding the Third Proportional to 241,570.50 and 514,326

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Solution

The third proportional to 241,570.50 and 514,326 is: 1,095,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,570.50 : 514,326 = 514,326 : x
  2. Step 2: Convert to fraction form
    241,570.50/514,326 = 514,326/x
  3. Step 3: Cross multiply
    241,570.50x = 514,326 × 514,326
  4. Step 4: Simplify right side
    241,570.50x = 264,531,234,276
  5. Step 5: Solve for x
    x = 264,531,234,276/241,570.50
  6. Step 6: Final answer
    x = 1,095,047.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.