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Finding the Third Proportional to 362,823 and 794,688

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Solution

The third proportional to 362,823 and 794,688 is: 1,740,598.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,823 : 794,688 = 794,688 : x
  2. Step 2: Convert to fraction form
    362,823/794,688 = 794,688/x
  3. Step 3: Cross multiply
    362,823x = 794,688 × 794,688
  4. Step 4: Simplify right side
    362,823x = 631,529,017,344
  5. Step 5: Solve for x
    x = 631,529,017,344/362,823
  6. Step 6: Final answer
    x = 1,740,598.08

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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.