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Finding the Third Proportional to 295,521.75 and 468,023.06

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Solution

The third proportional to 295,521.75 and 468,023.06 is: 741,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,521.75 : 468,023.06 = 468,023.06 : x
  2. Step 2: Convert to fraction form
    295,521.75/468,023.06 = 468,023.06/x
  3. Step 3: Cross multiply
    295,521.75x = 468,023.06 × 468,023.06
  4. Step 4: Simplify right side
    295,521.75x = 219,045,587,031.88
  5. Step 5: Solve for x
    x = 219,045,587,031.88/295,521.75
  6. Step 6: Final answer
    x = 741,216.47

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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.