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Finding the Third Proportional to 285,734.25 and 624,595.50

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Solution

The third proportional to 285,734.25 and 624,595.50 is: 1,365,322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,734.25 : 624,595.50 = 624,595.50 : x
  2. Step 2: Convert to fraction form
    285,734.25/624,595.50 = 624,595.50/x
  3. Step 3: Cross multiply
    285,734.25x = 624,595.50 × 624,595.50
  4. Step 4: Simplify right side
    285,734.25x = 390,119,538,620.25
  5. Step 5: Solve for x
    x = 390,119,538,620.25/285,734.25
  6. Step 6: Final answer
    x = 1,365,322.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.