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Finding the Third Proportional to 350,734 and 760,490

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Solution

The third proportional to 350,734 and 760,490 is: 1,648,956.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,734 : 760,490 = 760,490 : x
  2. Step 2: Convert to fraction form
    350,734/760,490 = 760,490/x
  3. Step 3: Cross multiply
    350,734x = 760,490 × 760,490
  4. Step 4: Simplify right side
    350,734x = 578,345,040,100
  5. Step 5: Solve for x
    x = 578,345,040,100/350,734
  6. Step 6: Final answer
    x = 1,648,956.30

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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.