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Finding the Third Proportional to 276,415.03 and 416,567.81

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Solution

The third proportional to 276,415.03 and 416,567.81 is: 627,783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,415.03 : 416,567.81 = 416,567.81 : x
  2. Step 2: Convert to fraction form
    276,415.03/416,567.81 = 416,567.81/x
  3. Step 3: Cross multiply
    276,415.03x = 416,567.81 × 416,567.81
  4. Step 4: Simplify right side
    276,415.03x = 173,528,742,411.04
  5. Step 5: Solve for x
    x = 173,528,742,411.04/276,415.03
  6. Step 6: Final answer
    x = 627,783.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.