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Finding the Third Proportional to 360,184 and 776,230

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Solution

The third proportional to 360,184 and 776,230 is: 1,672,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,184 : 776,230 = 776,230 : x
  2. Step 2: Convert to fraction form
    360,184/776,230 = 776,230/x
  3. Step 3: Cross multiply
    360,184x = 776,230 × 776,230
  4. Step 4: Simplify right side
    360,184x = 602,533,012,900
  5. Step 5: Solve for x
    x = 602,533,012,900/360,184
  6. Step 6: Final answer
    x = 1,672,847.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.