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Finding the Third Proportional to 287,533.13 and 435,329.44

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Solution

The third proportional to 287,533.13 and 435,329.44 is: 659,095.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,533.13 : 435,329.44 = 435,329.44 : x
  2. Step 2: Convert to fraction form
    287,533.13/435,329.44 = 435,329.44/x
  3. Step 3: Cross multiply
    287,533.13x = 435,329.44 × 435,329.44
  4. Step 4: Simplify right side
    287,533.13x = 189,511,719,154.07
  5. Step 5: Solve for x
    x = 189,511,719,154.07/287,533.13
  6. Step 6: Final answer
    x = 659,095.26

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