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Finding the Third Proportional to 693,355.50 and 1,065,264.75

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Solution

The third proportional to 693,355.50 and 1,065,264.75 is: 1,636,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,355.50 : 1,065,264.75 = 1,065,264.75 : x
  2. Step 2: Convert to fraction form
    693,355.50/1,065,264.75 = 1,065,264.75/x
  3. Step 3: Cross multiply
    693,355.50x = 1,065,264.75 × 1,065,264.75
  4. Step 4: Simplify right side
    693,355.50x = 1,134,788,987,592.56
  5. Step 5: Solve for x
    x = 1,134,788,987,592.56/693,355.50
  6. Step 6: Final answer
    x = 1,636,662.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.