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Finding the Third Proportional to 512,433 and 710,530.50

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Solution

The third proportional to 512,433 and 710,530.50 is: 985,208.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,433 : 710,530.50 = 710,530.50 : x
  2. Step 2: Convert to fraction form
    512,433/710,530.50 = 710,530.50/x
  3. Step 3: Cross multiply
    512,433x = 710,530.50 × 710,530.50
  4. Step 4: Simplify right side
    512,433x = 504,853,591,430.25
  5. Step 5: Solve for x
    x = 504,853,591,430.25/512,433
  6. Step 6: Final answer
    x = 985,208.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.