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Finding the Third Proportional to 349,094 and 760,394

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Solution

The third proportional to 349,094 and 760,394 is: 1,656,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,094 : 760,394 = 760,394 : x
  2. Step 2: Convert to fraction form
    349,094/760,394 = 760,394/x
  3. Step 3: Cross multiply
    349,094x = 760,394 × 760,394
  4. Step 4: Simplify right side
    349,094x = 578,199,035,236
  5. Step 5: Solve for x
    x = 578,199,035,236/349,094
  6. Step 6: Final answer
    x = 1,656,284.65

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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.