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Finding the Third Proportional to 333,050 and 507,918

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Solution

The third proportional to 333,050 and 507,918 is: 774,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,050 : 507,918 = 507,918 : x
  2. Step 2: Convert to fraction form
    333,050/507,918 = 507,918/x
  3. Step 3: Cross multiply
    333,050x = 507,918 × 507,918
  4. Step 4: Simplify right side
    333,050x = 257,980,694,724
  5. Step 5: Solve for x
    x = 257,980,694,724/333,050
  6. Step 6: Final answer
    x = 774,600.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.