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Finding the Third Proportional to 513,532.50 and 751,281

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Solution

The third proportional to 513,532.50 and 751,281 is: 1,099,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,532.50 : 751,281 = 751,281 : x
  2. Step 2: Convert to fraction form
    513,532.50/751,281 = 751,281/x
  3. Step 3: Cross multiply
    513,532.50x = 751,281 × 751,281
  4. Step 4: Simplify right side
    513,532.50x = 564,423,140,961
  5. Step 5: Solve for x
    x = 564,423,140,961/513,532.50
  6. Step 6: Final answer
    x = 1,099,099.16

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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.