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Finding the Third Proportional to 310,068 and 675,509.63

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Solution

The third proportional to 310,068 and 675,509.63 is: 1,471,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,068 : 675,509.63 = 675,509.63 : x
  2. Step 2: Convert to fraction form
    310,068/675,509.63 = 675,509.63/x
  3. Step 3: Cross multiply
    310,068x = 675,509.63 × 675,509.63
  4. Step 4: Simplify right side
    310,068x = 456,313,253,467.64
  5. Step 5: Solve for x
    x = 456,313,253,467.64/310,068
  6. Step 6: Final answer
    x = 1,471,655.42

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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.