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Finding the Third Proportional to 350,484 and 760,017

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Solution

The third proportional to 350,484 and 760,017 is: 1,648,080.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,484 : 760,017 = 760,017 : x
  2. Step 2: Convert to fraction form
    350,484/760,017 = 760,017/x
  3. Step 3: Cross multiply
    350,484x = 760,017 × 760,017
  4. Step 4: Simplify right side
    350,484x = 577,625,840,289
  5. Step 5: Solve for x
    x = 577,625,840,289/350,484
  6. Step 6: Final answer
    x = 1,648,080.48

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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.