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Finding the Third Proportional to 295,528.50 and 468,032.25

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Solution

The third proportional to 295,528.50 and 468,032.25 is: 741,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,528.50 : 468,032.25 = 468,032.25 : x
  2. Step 2: Convert to fraction form
    295,528.50/468,032.25 = 468,032.25/x
  3. Step 3: Cross multiply
    295,528.50x = 468,032.25 × 468,032.25
  4. Step 4: Simplify right side
    295,528.50x = 219,054,187,040.06
  5. Step 5: Solve for x
    x = 219,054,187,040.06/295,528.50
  6. Step 6: Final answer
    x = 741,228.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.