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Finding the Third Proportional to 340,566 and 740,082

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Solution

The third proportional to 340,566 and 740,082 is: 1,608,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,566 : 740,082 = 740,082 : x
  2. Step 2: Convert to fraction form
    340,566/740,082 = 740,082/x
  3. Step 3: Cross multiply
    340,566x = 740,082 × 740,082
  4. Step 4: Simplify right side
    340,566x = 547,721,366,724
  5. Step 5: Solve for x
    x = 547,721,366,724/340,566
  6. Step 6: Final answer
    x = 1,608,267.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.