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Finding the Third Proportional to 516,924 and 780,300

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Solution

The third proportional to 516,924 and 780,300 is: 1,177,867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,924 : 780,300 = 780,300 : x
  2. Step 2: Convert to fraction form
    516,924/780,300 = 780,300/x
  3. Step 3: Cross multiply
    516,924x = 780,300 × 780,300
  4. Step 4: Simplify right side
    516,924x = 608,868,090,000
  5. Step 5: Solve for x
    x = 608,868,090,000/516,924
  6. Step 6: Final answer
    x = 1,177,867.71

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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.