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Finding the Third Proportional to 374,152.50 and 570,568.50

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Solution

The third proportional to 374,152.50 and 570,568.50 is: 870,095.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,152.50 : 570,568.50 = 570,568.50 : x
  2. Step 2: Convert to fraction form
    374,152.50/570,568.50 = 570,568.50/x
  3. Step 3: Cross multiply
    374,152.50x = 570,568.50 × 570,568.50
  4. Step 4: Simplify right side
    374,152.50x = 325,548,413,192.25
  5. Step 5: Solve for x
    x = 325,548,413,192.25/374,152.50
  6. Step 6: Final answer
    x = 870,095.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.