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Finding the Third Proportional to 354,417.75 and 534,165.75

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Solution

The third proportional to 354,417.75 and 534,165.75 is: 805,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,417.75 : 534,165.75 = 534,165.75 : x
  2. Step 2: Convert to fraction form
    354,417.75/534,165.75 = 534,165.75/x
  3. Step 3: Cross multiply
    354,417.75x = 534,165.75 × 534,165.75
  4. Step 4: Simplify right side
    354,417.75x = 285,333,048,473.06
  5. Step 5: Solve for x
    x = 285,333,048,473.06/354,417.75
  6. Step 6: Final answer
    x = 805,075.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.