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Finding the Third Proportional to 360,264.38 and 776,197.69

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Solution

The third proportional to 360,264.38 and 776,197.69 is: 1,672,335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,264.38 : 776,197.69 = 776,197.69 : x
  2. Step 2: Convert to fraction form
    360,264.38/776,197.69 = 776,197.69/x
  3. Step 3: Cross multiply
    360,264.38x = 776,197.69 × 776,197.69
  4. Step 4: Simplify right side
    360,264.38x = 602,482,850,080.35
  5. Step 5: Solve for x
    x = 602,482,850,080.35/360,264.38
  6. Step 6: Final answer
    x = 1,672,335.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.