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Finding the Third Proportional to 347,588 and 761,616

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Solution

The third proportional to 347,588 and 761,616 is: 1,668,811.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,588 : 761,616 = 761,616 : x
  2. Step 2: Convert to fraction form
    347,588/761,616 = 761,616/x
  3. Step 3: Cross multiply
    347,588x = 761,616 × 761,616
  4. Step 4: Simplify right side
    347,588x = 580,058,931,456
  5. Step 5: Solve for x
    x = 580,058,931,456/347,588
  6. Step 6: Final answer
    x = 1,668,811.73

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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.