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Finding the Third Proportional to 302,857.50 and 455,014.50

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Solution

The third proportional to 302,857.50 and 455,014.50 is: 683,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,857.50 : 455,014.50 = 455,014.50 : x
  2. Step 2: Convert to fraction form
    302,857.50/455,014.50 = 455,014.50/x
  3. Step 3: Cross multiply
    302,857.50x = 455,014.50 × 455,014.50
  4. Step 4: Simplify right side
    302,857.50x = 207,038,195,210.25
  5. Step 5: Solve for x
    x = 207,038,195,210.25/302,857.50
  6. Step 6: Final answer
    x = 683,615.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.