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Finding the Third Proportional to 371,169 and 794,820

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Solution

The third proportional to 371,169 and 794,820 is: 1,702,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,169 : 794,820 = 794,820 : x
  2. Step 2: Convert to fraction form
    371,169/794,820 = 794,820/x
  3. Step 3: Cross multiply
    371,169x = 794,820 × 794,820
  4. Step 4: Simplify right side
    371,169x = 631,738,832,400
  5. Step 5: Solve for x
    x = 631,738,832,400/371,169
  6. Step 6: Final answer
    x = 1,702,024.77

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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.