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Finding the Third Proportional to 295,629.75 and 456,566.63

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Solution

The third proportional to 295,629.75 and 456,566.63 is: 705,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,629.75 : 456,566.63 = 456,566.63 : x
  2. Step 2: Convert to fraction form
    295,629.75/456,566.63 = 456,566.63/x
  3. Step 3: Cross multiply
    295,629.75x = 456,566.63 × 456,566.63
  4. Step 4: Simplify right side
    295,629.75x = 208,453,083,063.89
  5. Step 5: Solve for x
    x = 208,453,083,063.89/295,629.75
  6. Step 6: Final answer
    x = 705,115.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.