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Finding the Third Proportional to 348,090.75 and 538,528.50

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Solution

The third proportional to 348,090.75 and 538,528.50 is: 833,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,090.75 : 538,528.50 = 538,528.50 : x
  2. Step 2: Convert to fraction form
    348,090.75/538,528.50 = 538,528.50/x
  3. Step 3: Cross multiply
    348,090.75x = 538,528.50 × 538,528.50
  4. Step 4: Simplify right side
    348,090.75x = 290,012,945,312.25
  5. Step 5: Solve for x
    x = 290,012,945,312.25/348,090.75
  6. Step 6: Final answer
    x = 833,153.27

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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.