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Finding the Third Proportional to 437,414.63 and 714,261.38

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Solution

The third proportional to 437,414.63 and 714,261.38 is: 1,166,328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,414.63 : 714,261.38 = 714,261.38 : x
  2. Step 2: Convert to fraction form
    437,414.63/714,261.38 = 714,261.38/x
  3. Step 3: Cross multiply
    437,414.63x = 714,261.38 × 714,261.38
  4. Step 4: Simplify right side
    437,414.63x = 510,169,311,816.89
  5. Step 5: Solve for x
    x = 510,169,311,816.89/437,414.63
  6. Step 6: Final answer
    x = 1,166,328.88

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.