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Finding the Third Proportional to 347,196 and 761,100

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Solution

The third proportional to 347,196 and 761,100 is: 1,668,432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,196 : 761,100 = 761,100 : x
  2. Step 2: Convert to fraction form
    347,196/761,100 = 761,100/x
  3. Step 3: Cross multiply
    347,196x = 761,100 × 761,100
  4. Step 4: Simplify right side
    347,196x = 579,273,210,000
  5. Step 5: Solve for x
    x = 579,273,210,000/347,196
  6. Step 6: Final answer
    x = 1,668,432.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.