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Finding the Third Proportional to 286,092.84 and 432,821.81

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Solution

The third proportional to 286,092.84 and 432,821.81 is: 654,803.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,092.84 : 432,821.81 = 432,821.81 : x
  2. Step 2: Convert to fraction form
    286,092.84/432,821.81 = 432,821.81/x
  3. Step 3: Cross multiply
    286,092.84x = 432,821.81 × 432,821.81
  4. Step 4: Simplify right side
    286,092.84x = 187,334,721,375.79
  5. Step 5: Solve for x
    x = 187,334,721,375.79/286,092.84
  6. Step 6: Final answer
    x = 654,803.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.