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Finding the Third Proportional to 368,070 and 794,135

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Solution

The third proportional to 368,070 and 794,135 is: 1,713,397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,070 : 794,135 = 794,135 : x
  2. Step 2: Convert to fraction form
    368,070/794,135 = 794,135/x
  3. Step 3: Cross multiply
    368,070x = 794,135 × 794,135
  4. Step 4: Simplify right side
    368,070x = 630,650,398,225
  5. Step 5: Solve for x
    x = 630,650,398,225/368,070
  6. Step 6: Final answer
    x = 1,713,397.99

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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.