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Finding the Third Proportional to 302,829 and 441,097.50

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Solution

The third proportional to 302,829 and 441,097.50 is: 642,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,829 : 441,097.50 = 441,097.50 : x
  2. Step 2: Convert to fraction form
    302,829/441,097.50 = 441,097.50/x
  3. Step 3: Cross multiply
    302,829x = 441,097.50 × 441,097.50
  4. Step 4: Simplify right side
    302,829x = 194,567,004,506.25
  5. Step 5: Solve for x
    x = 194,567,004,506.25/302,829
  6. Step 6: Final answer
    x = 642,497.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.