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Finding the Third Proportional to 371,112 and 794,688

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Solution

The third proportional to 371,112 and 794,688 is: 1,701,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,112 : 794,688 = 794,688 : x
  2. Step 2: Convert to fraction form
    371,112/794,688 = 794,688/x
  3. Step 3: Cross multiply
    371,112x = 794,688 × 794,688
  4. Step 4: Simplify right side
    371,112x = 631,529,017,344
  5. Step 5: Solve for x
    x = 631,529,017,344/371,112
  6. Step 6: Final answer
    x = 1,701,720.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.