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Finding the Third Proportional to 370,276 and 560,608

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Solution

The third proportional to 370,276 and 560,608 is: 848,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,276 : 560,608 = 560,608 : x
  2. Step 2: Convert to fraction form
    370,276/560,608 = 560,608/x
  3. Step 3: Cross multiply
    370,276x = 560,608 × 560,608
  4. Step 4: Simplify right side
    370,276x = 314,281,329,664
  5. Step 5: Solve for x
    x = 314,281,329,664/370,276
  6. Step 6: Final answer
    x = 848,775.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.