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Finding the Third Proportional to 350,738 and 760,498

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Solution

The third proportional to 350,738 and 760,498 is: 1,648,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,738 : 760,498 = 760,498 : x
  2. Step 2: Convert to fraction form
    350,738/760,498 = 760,498/x
  3. Step 3: Cross multiply
    350,738x = 760,498 × 760,498
  4. Step 4: Simplify right side
    350,738x = 578,357,208,004
  5. Step 5: Solve for x
    x = 578,357,208,004/350,738
  6. Step 6: Final answer
    x = 1,648,972.19

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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.