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Finding the Third Proportional to 370,378 and 524,426

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Solution

The third proportional to 370,378 and 524,426 is: 742,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,378 : 524,426 = 524,426 : x
  2. Step 2: Convert to fraction form
    370,378/524,426 = 524,426/x
  3. Step 3: Cross multiply
    370,378x = 524,426 × 524,426
  4. Step 4: Simplify right side
    370,378x = 275,022,629,476
  5. Step 5: Solve for x
    x = 275,022,629,476/370,378
  6. Step 6: Final answer
    x = 742,545.80

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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.