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Finding the Third Proportional to 287,097 and 440,689.50

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Solution

The third proportional to 287,097 and 440,689.50 is: 676,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,097 : 440,689.50 = 440,689.50 : x
  2. Step 2: Convert to fraction form
    287,097/440,689.50 = 440,689.50/x
  3. Step 3: Cross multiply
    287,097x = 440,689.50 × 440,689.50
  4. Step 4: Simplify right side
    287,097x = 194,207,235,410.25
  5. Step 5: Solve for x
    x = 194,207,235,410.25/287,097
  6. Step 6: Final answer
    x = 676,451.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.