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Finding the Third Proportional to 513,689 and 681,607.50

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Solution

The third proportional to 513,689 and 681,607.50 is: 904,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,689 : 681,607.50 = 681,607.50 : x
  2. Step 2: Convert to fraction form
    513,689/681,607.50 = 681,607.50/x
  3. Step 3: Cross multiply
    513,689x = 681,607.50 × 681,607.50
  4. Step 4: Simplify right side
    513,689x = 464,588,784,056.25
  5. Step 5: Solve for x
    x = 464,588,784,056.25/513,689
  6. Step 6: Final answer
    x = 904,416.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.