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Finding the Third Proportional to 230,045.06 and 501,348.39

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Solution

The third proportional to 230,045.06 and 501,348.39 is: 1,092,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,045.06 : 501,348.39 = 501,348.39 : x
  2. Step 2: Convert to fraction form
    230,045.06/501,348.39 = 501,348.39/x
  3. Step 3: Cross multiply
    230,045.06x = 501,348.39 × 501,348.39
  4. Step 4: Simplify right side
    230,045.06x = 251,350,210,740.67
  5. Step 5: Solve for x
    x = 251,350,210,740.67/230,045.06
  6. Step 6: Final answer
    x = 1,092,612.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.