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Finding the Third Proportional to 329,482.69 and 719,381.25

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Solution

The third proportional to 329,482.69 and 719,381.25 is: 1,570,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,482.69 : 719,381.25 = 719,381.25 : x
  2. Step 2: Convert to fraction form
    329,482.69/719,381.25 = 719,381.25/x
  3. Step 3: Cross multiply
    329,482.69x = 719,381.25 × 719,381.25
  4. Step 4: Simplify right side
    329,482.69x = 517,509,382,851.56
  5. Step 5: Solve for x
    x = 517,509,382,851.56/329,482.69
  6. Step 6: Final answer
    x = 1,570,672.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.