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Finding the Third Proportional to 688,056.75 and 1,062,763.88

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Solution

The third proportional to 688,056.75 and 1,062,763.88 is: 1,641,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,056.75 : 1,062,763.88 = 1,062,763.88 : x
  2. Step 2: Convert to fraction form
    688,056.75/1,062,763.88 = 1,062,763.88/x
  3. Step 3: Cross multiply
    688,056.75x = 1,062,763.88 × 1,062,763.88
  4. Step 4: Simplify right side
    688,056.75x = 1,129,467,054,005.02
  5. Step 5: Solve for x
    x = 1,129,467,054,005.02/688,056.75
  6. Step 6: Final answer
    x = 1,641,531.83

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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.