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Finding the Third Proportional to 348,085 and 760,082

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Solution

The third proportional to 348,085 and 760,082 is: 1,659,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,085 : 760,082 = 760,082 : x
  2. Step 2: Convert to fraction form
    348,085/760,082 = 760,082/x
  3. Step 3: Cross multiply
    348,085x = 760,082 × 760,082
  4. Step 4: Simplify right side
    348,085x = 577,724,646,724
  5. Step 5: Solve for x
    x = 577,724,646,724/348,085
  6. Step 6: Final answer
    x = 1,659,722.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.