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Finding the Third Proportional to 287,740.13 and 429,833.25

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Solution

The third proportional to 287,740.13 and 429,833.25 is: 642,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,740.13 : 429,833.25 = 429,833.25 : x
  2. Step 2: Convert to fraction form
    287,740.13/429,833.25 = 429,833.25/x
  3. Step 3: Cross multiply
    287,740.13x = 429,833.25 × 429,833.25
  4. Step 4: Simplify right side
    287,740.13x = 184,756,622,805.56
  5. Step 5: Solve for x
    x = 184,756,622,805.56/287,740.13
  6. Step 6: Final answer
    x = 642,095.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.