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Finding the Third Proportional to 302,343.75 and 457,384.50

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Solution

The third proportional to 302,343.75 and 457,384.50 is: 691,929.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,343.75 : 457,384.50 = 457,384.50 : x
  2. Step 2: Convert to fraction form
    302,343.75/457,384.50 = 457,384.50/x
  3. Step 3: Cross multiply
    302,343.75x = 457,384.50 × 457,384.50
  4. Step 4: Simplify right side
    302,343.75x = 209,200,580,840.25
  5. Step 5: Solve for x
    x = 209,200,580,840.25/302,343.75
  6. Step 6: Final answer
    x = 691,929.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.