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Finding the Third Proportional to 306,425.25 and 506,415.38

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Solution

The third proportional to 306,425.25 and 506,415.38 is: 836,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,425.25 : 506,415.38 = 506,415.38 : x
  2. Step 2: Convert to fraction form
    306,425.25/506,415.38 = 506,415.38/x
  3. Step 3: Cross multiply
    306,425.25x = 506,415.38 × 506,415.38
  4. Step 4: Simplify right side
    306,425.25x = 256,456,532,036.39
  5. Step 5: Solve for x
    x = 256,456,532,036.39/306,425.25
  6. Step 6: Final answer
    x = 836,930.16

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.