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Finding the Third Proportional to 299,960.72 and 708,075.42

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Solution

The third proportional to 299,960.72 and 708,075.42 is: 1,671,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,960.72 : 708,075.42 = 708,075.42 : x
  2. Step 2: Convert to fraction form
    299,960.72/708,075.42 = 708,075.42/x
  3. Step 3: Cross multiply
    299,960.72x = 708,075.42 × 708,075.42
  4. Step 4: Simplify right side
    299,960.72x = 501,370,803,063.46
  5. Step 5: Solve for x
    x = 501,370,803,063.46/299,960.72
  6. Step 6: Final answer
    x = 1,671,454.87

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.