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Finding the Third Proportional to 325,306 and 692,084

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Solution

The third proportional to 325,306 and 692,084 is: 1,472,399.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,306 : 692,084 = 692,084 : x
  2. Step 2: Convert to fraction form
    325,306/692,084 = 692,084/x
  3. Step 3: Cross multiply
    325,306x = 692,084 × 692,084
  4. Step 4: Simplify right side
    325,306x = 478,980,263,056
  5. Step 5: Solve for x
    x = 478,980,263,056/325,306
  6. Step 6: Final answer
    x = 1,472,399.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.