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Finding the Third Proportional to 370,370 and 524,415

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Solution

The third proportional to 370,370 and 524,415 is: 742,530.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,370 : 524,415 = 524,415 : x
  2. Step 2: Convert to fraction form
    370,370/524,415 = 524,415/x
  3. Step 3: Cross multiply
    370,370x = 524,415 × 524,415
  4. Step 4: Simplify right side
    370,370x = 275,011,092,225
  5. Step 5: Solve for x
    x = 275,011,092,225/370,370
  6. Step 6: Final answer
    x = 742,530.69

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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.