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Finding the Third Proportional to 766,543.50 and 1,041,479.02

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Solution

The third proportional to 766,543.50 and 1,041,479.02 is: 1,415,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,543.50 : 1,041,479.02 = 1,041,479.02 : x
  2. Step 2: Convert to fraction form
    766,543.50/1,041,479.02 = 1,041,479.02/x
  3. Step 3: Cross multiply
    766,543.50x = 1,041,479.02 × 1,041,479.02
  4. Step 4: Simplify right side
    766,543.50x = 1,084,678,539,987.22
  5. Step 5: Solve for x
    x = 1,084,678,539,987.22/766,543.50
  6. Step 6: Final answer
    x = 1,415,025.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.