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Finding the Third Proportional to 368,084 and 794,160

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Solution

The third proportional to 368,084 and 794,160 is: 1,713,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,084 : 794,160 = 794,160 : x
  2. Step 2: Convert to fraction form
    368,084/794,160 = 794,160/x
  3. Step 3: Cross multiply
    368,084x = 794,160 × 794,160
  4. Step 4: Simplify right side
    368,084x = 630,690,105,600
  5. Step 5: Solve for x
    x = 630,690,105,600/368,084
  6. Step 6: Final answer
    x = 1,713,440.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.