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Finding the Third Proportional to 623.25 and 907.88

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Solution

The third proportional to 623.25 and 907.88 is: 1,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.25 : 907.88 = 907.88 : x
  2. Step 2: Convert to fraction form
    623.25/907.88 = 907.88/x
  3. Step 3: Cross multiply
    623.25x = 907.88 × 907.88
  4. Step 4: Simplify right side
    623.25x = 824,237.02
  5. Step 5: Solve for x
    x = 824,237.02/623.25
  6. Step 6: Final answer
    x = 1,322.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.