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Finding the Third Proportional to 302,467.50 and 464,275.50

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Solution

The third proportional to 302,467.50 and 464,275.50 is: 712,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,467.50 : 464,275.50 = 464,275.50 : x
  2. Step 2: Convert to fraction form
    302,467.50/464,275.50 = 464,275.50/x
  3. Step 3: Cross multiply
    302,467.50x = 464,275.50 × 464,275.50
  4. Step 4: Simplify right side
    302,467.50x = 215,551,739,900.25
  5. Step 5: Solve for x
    x = 215,551,739,900.25/302,467.50
  6. Step 6: Final answer
    x = 712,644.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.