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Finding the Third Proportional to 370,284 and 524,241

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Solution

The third proportional to 370,284 and 524,241 is: 742,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,284 : 524,241 = 524,241 : x
  2. Step 2: Convert to fraction form
    370,284/524,241 = 524,241/x
  3. Step 3: Cross multiply
    370,284x = 524,241 × 524,241
  4. Step 4: Simplify right side
    370,284x = 274,828,626,081
  5. Step 5: Solve for x
    x = 274,828,626,081/370,284
  6. Step 6: Final answer
    x = 742,210.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.