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Finding the Third Proportional to 265,450.50 and 575,178

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Solution

The third proportional to 265,450.50 and 575,178 is: 1,246,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,450.50 : 575,178 = 575,178 : x
  2. Step 2: Convert to fraction form
    265,450.50/575,178 = 575,178/x
  3. Step 3: Cross multiply
    265,450.50x = 575,178 × 575,178
  4. Step 4: Simplify right side
    265,450.50x = 330,829,731,684
  5. Step 5: Solve for x
    x = 330,829,731,684/265,450.50
  6. Step 6: Final answer
    x = 1,246,295.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.