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Finding the Third Proportional to 334,380 and 730,968

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Solution

The third proportional to 334,380 and 730,968 is: 1,597,925.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,380 : 730,968 = 730,968 : x
  2. Step 2: Convert to fraction form
    334,380/730,968 = 730,968/x
  3. Step 3: Cross multiply
    334,380x = 730,968 × 730,968
  4. Step 4: Simplify right side
    334,380x = 534,314,217,024
  5. Step 5: Solve for x
    x = 534,314,217,024/334,380
  6. Step 6: Final answer
    x = 1,597,925.17

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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.