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Finding the Third Proportional to 216,567 and 524,805.75

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Solution

The third proportional to 216,567 and 524,805.75 is: 1,271,759.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,567 : 524,805.75 = 524,805.75 : x
  2. Step 2: Convert to fraction form
    216,567/524,805.75 = 524,805.75/x
  3. Step 3: Cross multiply
    216,567x = 524,805.75 × 524,805.75
  4. Step 4: Simplify right side
    216,567x = 275,421,075,233.06
  5. Step 5: Solve for x
    x = 275,421,075,233.06/216,567
  6. Step 6: Final answer
    x = 1,271,759.20

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.