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Finding the Third Proportional to 354,612 and 531,918.50

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Solution

The third proportional to 354,612 and 531,918.50 is: 797,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,612 : 531,918.50 = 531,918.50 : x
  2. Step 2: Convert to fraction form
    354,612/531,918.50 = 531,918.50/x
  3. Step 3: Cross multiply
    354,612x = 531,918.50 × 531,918.50
  4. Step 4: Simplify right side
    354,612x = 282,937,290,642.25
  5. Step 5: Solve for x
    x = 282,937,290,642.25/354,612
  6. Step 6: Final answer
    x = 797,878.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.