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Finding the Third Proportional to 348,578 and 761,119

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Solution

The third proportional to 348,578 and 761,119 is: 1,661,901.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,578 : 761,119 = 761,119 : x
  2. Step 2: Convert to fraction form
    348,578/761,119 = 761,119/x
  3. Step 3: Cross multiply
    348,578x = 761,119 × 761,119
  4. Step 4: Simplify right side
    348,578x = 579,302,132,161
  5. Step 5: Solve for x
    x = 579,302,132,161/348,578
  6. Step 6: Final answer
    x = 1,661,901.02

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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.