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Finding the Third Proportional to 286,092.63 and 432,821.92

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Solution

The third proportional to 286,092.63 and 432,821.92 is: 654,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,092.63 : 432,821.92 = 432,821.92 : x
  2. Step 2: Convert to fraction form
    286,092.63/432,821.92 = 432,821.92/x
  3. Step 3: Cross multiply
    286,092.63x = 432,821.92 × 432,821.92
  4. Step 4: Simplify right side
    286,092.63x = 187,334,812,674.15
  5. Step 5: Solve for x
    x = 187,334,812,674.15/286,092.63
  6. Step 6: Final answer
    x = 654,804.74

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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.