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Finding the Third Proportional to 341,918 and 736,420

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Solution

The third proportional to 341,918 and 736,420 is: 1,586,094.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,918 : 736,420 = 736,420 : x
  2. Step 2: Convert to fraction form
    341,918/736,420 = 736,420/x
  3. Step 3: Cross multiply
    341,918x = 736,420 × 736,420
  4. Step 4: Simplify right side
    341,918x = 542,314,416,400
  5. Step 5: Solve for x
    x = 542,314,416,400/341,918
  6. Step 6: Final answer
    x = 1,586,094.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.