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Finding the Third Proportional to 350,976 and 513,301.50

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Solution

The third proportional to 350,976 and 513,301.50 is: 750,702.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,976 : 513,301.50 = 513,301.50 : x
  2. Step 2: Convert to fraction form
    350,976/513,301.50 = 513,301.50/x
  3. Step 3: Cross multiply
    350,976x = 513,301.50 × 513,301.50
  4. Step 4: Simplify right side
    350,976x = 263,478,429,902.25
  5. Step 5: Solve for x
    x = 263,478,429,902.25/350,976
  6. Step 6: Final answer
    x = 750,702.13

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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.