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Finding the Third Proportional to 285,734.25 and 427,207.50

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Solution

The third proportional to 285,734.25 and 427,207.50 is: 638,727.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,734.25 : 427,207.50 = 427,207.50 : x
  2. Step 2: Convert to fraction form
    285,734.25/427,207.50 = 427,207.50/x
  3. Step 3: Cross multiply
    285,734.25x = 427,207.50 × 427,207.50
  4. Step 4: Simplify right side
    285,734.25x = 182,506,248,056.25
  5. Step 5: Solve for x
    x = 182,506,248,056.25/285,734.25
  6. Step 6: Final answer
    x = 638,727.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.