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Finding the Third Proportional to 286,101 and 432,832.50

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Solution

The third proportional to 286,101 and 432,832.50 is: 654,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,101 : 432,832.50 = 432,832.50 : x
  2. Step 2: Convert to fraction form
    286,101/432,832.50 = 432,832.50/x
  3. Step 3: Cross multiply
    286,101x = 432,832.50 × 432,832.50
  4. Step 4: Simplify right side
    286,101x = 187,343,973,056.25
  5. Step 5: Solve for x
    x = 187,343,973,056.25/286,101
  6. Step 6: Final answer
    x = 654,817.61

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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.