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Finding the Third Proportional to 248,630 and 536,572

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Solution

The third proportional to 248,630 and 536,572 is: 1,157,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,630 : 536,572 = 536,572 : x
  2. Step 2: Convert to fraction form
    248,630/536,572 = 536,572/x
  3. Step 3: Cross multiply
    248,630x = 536,572 × 536,572
  4. Step 4: Simplify right side
    248,630x = 287,909,511,184
  5. Step 5: Solve for x
    x = 287,909,511,184/248,630
  6. Step 6: Final answer
    x = 1,157,983.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.