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Finding the Third Proportional to 333,083 and 507,909

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Solution

The third proportional to 333,083 and 507,909 is: 774,496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,083 : 507,909 = 507,909 : x
  2. Step 2: Convert to fraction form
    333,083/507,909 = 507,909/x
  3. Step 3: Cross multiply
    333,083x = 507,909 × 507,909
  4. Step 4: Simplify right side
    333,083x = 257,971,552,281
  5. Step 5: Solve for x
    x = 257,971,552,281/333,083
  6. Step 6: Final answer
    x = 774,496.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.