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Finding the Third Proportional to 285,801.25 and 417,967.50

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Solution

The third proportional to 285,801.25 and 417,967.50 is: 611,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,801.25 : 417,967.50 = 417,967.50 : x
  2. Step 2: Convert to fraction form
    285,801.25/417,967.50 = 417,967.50/x
  3. Step 3: Cross multiply
    285,801.25x = 417,967.50 × 417,967.50
  4. Step 4: Simplify right side
    285,801.25x = 174,696,831,056.25
  5. Step 5: Solve for x
    x = 174,696,831,056.25/285,801.25
  6. Step 6: Final answer
    x = 611,252.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.