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Finding the Third Proportional to 235,045.69 and 507,497.63

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Solution

The third proportional to 235,045.69 and 507,497.63 is: 1,095,760.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,045.69 : 507,497.63 = 507,497.63 : x
  2. Step 2: Convert to fraction form
    235,045.69/507,497.63 = 507,497.63/x
  3. Step 3: Cross multiply
    235,045.69x = 507,497.63 × 507,497.63
  4. Step 4: Simplify right side
    235,045.69x = 257,553,839,380.64
  5. Step 5: Solve for x
    x = 257,553,839,380.64/235,045.69
  6. Step 6: Final answer
    x = 1,095,760.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.