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Finding the Third Proportional to 516,958 and 772,338

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Solution

The third proportional to 516,958 and 772,338 is: 1,153,877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,958 : 772,338 = 772,338 : x
  2. Step 2: Convert to fraction form
    516,958/772,338 = 772,338/x
  3. Step 3: Cross multiply
    516,958x = 772,338 × 772,338
  4. Step 4: Simplify right side
    516,958x = 596,505,986,244
  5. Step 5: Solve for x
    x = 596,505,986,244/516,958
  6. Step 6: Final answer
    x = 1,153,877.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.