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Finding the Third Proportional to 732,351.75 and 1,097,809.50

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Solution

The third proportional to 732,351.75 and 1,097,809.50 is: 1,645,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,351.75 : 1,097,809.50 = 1,097,809.50 : x
  2. Step 2: Convert to fraction form
    732,351.75/1,097,809.50 = 1,097,809.50/x
  3. Step 3: Cross multiply
    732,351.75x = 1,097,809.50 × 1,097,809.50
  4. Step 4: Simplify right side
    732,351.75x = 1,205,185,698,290.25
  5. Step 5: Solve for x
    x = 1,205,185,698,290.25/732,351.75
  6. Step 6: Final answer
    x = 1,645,637.77

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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.