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Finding the Third Proportional to 245,708 and 525,573

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Solution

The third proportional to 245,708 and 525,573 is: 1,124,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,708 : 525,573 = 525,573 : x
  2. Step 2: Convert to fraction form
    245,708/525,573 = 525,573/x
  3. Step 3: Cross multiply
    245,708x = 525,573 × 525,573
  4. Step 4: Simplify right side
    245,708x = 276,226,978,329
  5. Step 5: Solve for x
    x = 276,226,978,329/245,708
  6. Step 6: Final answer
    x = 1,124,208.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.