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Finding the Third Proportional to 349,302.38 and 720,903.38

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Solution

The third proportional to 349,302.38 and 720,903.38 is: 1,487,827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,302.38 : 720,903.38 = 720,903.38 : x
  2. Step 2: Convert to fraction form
    349,302.38/720,903.38 = 720,903.38/x
  3. Step 3: Cross multiply
    349,302.38x = 720,903.38 × 720,903.38
  4. Step 4: Simplify right side
    349,302.38x = 519,701,676,086.39
  5. Step 5: Solve for x
    x = 519,701,676,086.39/349,302.38
  6. Step 6: Final answer
    x = 1,487,827.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.