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Finding the Third Proportional to 248,577.75 and 382,572

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Solution

The third proportional to 248,577.75 and 382,572 is: 588,795.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,577.75 : 382,572 = 382,572 : x
  2. Step 2: Convert to fraction form
    248,577.75/382,572 = 382,572/x
  3. Step 3: Cross multiply
    248,577.75x = 382,572 × 382,572
  4. Step 4: Simplify right side
    248,577.75x = 146,361,335,184
  5. Step 5: Solve for x
    x = 146,361,335,184/248,577.75
  6. Step 6: Final answer
    x = 588,795.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.