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Finding the Third Proportional to 308,385.56 and 462,577.50

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Solution

The third proportional to 308,385.56 and 462,577.50 is: 693,864.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,385.56 : 462,577.50 = 462,577.50 : x
  2. Step 2: Convert to fraction form
    308,385.56/462,577.50 = 462,577.50/x
  3. Step 3: Cross multiply
    308,385.56x = 462,577.50 × 462,577.50
  4. Step 4: Simplify right side
    308,385.56x = 213,977,943,506.25
  5. Step 5: Solve for x
    x = 213,977,943,506.25/308,385.56
  6. Step 6: Final answer
    x = 693,864.98

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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.