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Finding the Third Proportional to 241,254 and 509,724

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Solution

The third proportional to 241,254 and 509,724 is: 1,076,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,254 : 509,724 = 509,724 : x
  2. Step 2: Convert to fraction form
    241,254/509,724 = 509,724/x
  3. Step 3: Cross multiply
    241,254x = 509,724 × 509,724
  4. Step 4: Simplify right side
    241,254x = 259,818,556,176
  5. Step 5: Solve for x
    x = 259,818,556,176/241,254
  6. Step 6: Final answer
    x = 1,076,950.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.