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Finding the Third Proportional to 309,065.63 and 662,488.88

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Solution

The third proportional to 309,065.63 and 662,488.88 is: 1,420,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,065.63 : 662,488.88 = 662,488.88 : x
  2. Step 2: Convert to fraction form
    309,065.63/662,488.88 = 662,488.88/x
  3. Step 3: Cross multiply
    309,065.63x = 662,488.88 × 662,488.88
  4. Step 4: Simplify right side
    309,065.63x = 438,891,509,498.77
  5. Step 5: Solve for x
    x = 438,891,509,498.77/309,065.63
  6. Step 6: Final answer
    x = 1,420,059.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.