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Finding the Third Proportional to 611,628.75 and 944,713.13

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Solution

The third proportional to 611,628.75 and 944,713.13 is: 1,459,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,628.75 : 944,713.13 = 944,713.13 : x
  2. Step 2: Convert to fraction form
    611,628.75/944,713.13 = 944,713.13/x
  3. Step 3: Cross multiply
    611,628.75x = 944,713.13 × 944,713.13
  4. Step 4: Simplify right side
    611,628.75x = 892,482,888,547.27
  5. Step 5: Solve for x
    x = 892,482,888,547.27/611,628.75
  6. Step 6: Final answer
    x = 1,459,190.54

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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.