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Finding the Third Proportional to 241,866 and 525,710.25

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Solution

The third proportional to 241,866 and 525,710.25 is: 1,142,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,866 : 525,710.25 = 525,710.25 : x
  2. Step 2: Convert to fraction form
    241,866/525,710.25 = 525,710.25/x
  3. Step 3: Cross multiply
    241,866x = 525,710.25 × 525,710.25
  4. Step 4: Simplify right side
    241,866x = 276,371,266,955.06
  5. Step 5: Solve for x
    x = 276,371,266,955.06/241,866
  6. Step 6: Final answer
    x = 1,142,662.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.