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Finding the Third Proportional to 907.50 and 1,437.56

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Solution

The third proportional to 907.50 and 1,437.56 is: 2,277.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.50 : 1,437.56 = 1,437.56 : x
  2. Step 2: Convert to fraction form
    907.50/1,437.56 = 1,437.56/x
  3. Step 3: Cross multiply
    907.50x = 1,437.56 × 1,437.56
  4. Step 4: Simplify right side
    907.50x = 2,066,585.94
  5. Step 5: Solve for x
    x = 2,066,585.94/907.50
  6. Step 6: Final answer
    x = 2,277.23

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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.