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Finding the Third Proportional to 335,004 and 519,130.50

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Solution

The third proportional to 335,004 and 519,130.50 is: 804,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,004 : 519,130.50 = 519,130.50 : x
  2. Step 2: Convert to fraction form
    335,004/519,130.50 = 519,130.50/x
  3. Step 3: Cross multiply
    335,004x = 519,130.50 × 519,130.50
  4. Step 4: Simplify right side
    335,004x = 269,496,476,030.25
  5. Step 5: Solve for x
    x = 269,496,476,030.25/335,004
  6. Step 6: Final answer
    x = 804,457.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.