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Finding the Third Proportional to 302,254.50 and 409,033.50

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Solution

The third proportional to 302,254.50 and 409,033.50 is: 553,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,254.50 : 409,033.50 = 409,033.50 : x
  2. Step 2: Convert to fraction form
    302,254.50/409,033.50 = 409,033.50/x
  3. Step 3: Cross multiply
    302,254.50x = 409,033.50 × 409,033.50
  4. Step 4: Simplify right side
    302,254.50x = 167,308,404,122.25
  5. Step 5: Solve for x
    x = 167,308,404,122.25/302,254.50
  6. Step 6: Final answer
    x = 553,534.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.