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Finding the Third Proportional to 302,895.50 and 470,322.75

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Solution

The third proportional to 302,895.50 and 470,322.75 is: 730,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,895.50 : 470,322.75 = 470,322.75 : x
  2. Step 2: Convert to fraction form
    302,895.50/470,322.75 = 470,322.75/x
  3. Step 3: Cross multiply
    302,895.50x = 470,322.75 × 470,322.75
  4. Step 4: Simplify right side
    302,895.50x = 221,203,489,167.56
  5. Step 5: Solve for x
    x = 221,203,489,167.56/302,895.50
  6. Step 6: Final answer
    x = 730,296.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.