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Finding the Third Proportional to 350,595 and 501,306

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Solution

The third proportional to 350,595 and 501,306 is: 716,803.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,595 : 501,306 = 501,306 : x
  2. Step 2: Convert to fraction form
    350,595/501,306 = 501,306/x
  3. Step 3: Cross multiply
    350,595x = 501,306 × 501,306
  4. Step 4: Simplify right side
    350,595x = 251,307,705,636
  5. Step 5: Solve for x
    x = 251,307,705,636/350,595
  6. Step 6: Final answer
    x = 716,803.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.