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Finding the Third Proportional to 302,814 and 464,825.25

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Solution

The third proportional to 302,814 and 464,825.25 is: 713,515.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,814 : 464,825.25 = 464,825.25 : x
  2. Step 2: Convert to fraction form
    302,814/464,825.25 = 464,825.25/x
  3. Step 3: Cross multiply
    302,814x = 464,825.25 × 464,825.25
  4. Step 4: Simplify right side
    302,814x = 216,062,513,037.56
  5. Step 5: Solve for x
    x = 216,062,513,037.56/302,814
  6. Step 6: Final answer
    x = 713,515.60

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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.