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Finding the Third Proportional to 516,228 and 777,465.75

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Solution

The third proportional to 516,228 and 777,465.75 is: 1,170,903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,228 : 777,465.75 = 777,465.75 : x
  2. Step 2: Convert to fraction form
    516,228/777,465.75 = 777,465.75/x
  3. Step 3: Cross multiply
    516,228x = 777,465.75 × 777,465.75
  4. Step 4: Simplify right side
    516,228x = 604,452,992,423.06
  5. Step 5: Solve for x
    x = 604,452,992,423.06/516,228
  6. Step 6: Final answer
    x = 1,170,903.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.