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Finding the Third Proportional to 315,533 and 692,302

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Solution

The third proportional to 315,533 and 692,302 is: 1,518,960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,533 : 692,302 = 692,302 : x
  2. Step 2: Convert to fraction form
    315,533/692,302 = 692,302/x
  3. Step 3: Cross multiply
    315,533x = 692,302 × 692,302
  4. Step 4: Simplify right side
    315,533x = 479,282,059,204
  5. Step 5: Solve for x
    x = 479,282,059,204/315,533
  6. Step 6: Final answer
    x = 1,518,960.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.