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Finding the Third Proportional to 350,407.69 and 537,176.81

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Solution

The third proportional to 350,407.69 and 537,176.81 is: 823,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,407.69 : 537,176.81 = 537,176.81 : x
  2. Step 2: Convert to fraction form
    350,407.69/537,176.81 = 537,176.81/x
  3. Step 3: Cross multiply
    350,407.69x = 537,176.81 × 537,176.81
  4. Step 4: Simplify right side
    350,407.69x = 288,558,927,887.66
  5. Step 5: Solve for x
    x = 288,558,927,887.66/350,407.69
  6. Step 6: Final answer
    x = 823,494.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.