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Finding the Third Proportional to 508,700 and 787,317.25

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Solution

The third proportional to 508,700 and 787,317.25 is: 1,218,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,700 : 787,317.25 = 787,317.25 : x
  2. Step 2: Convert to fraction form
    508,700/787,317.25 = 787,317.25/x
  3. Step 3: Cross multiply
    508,700x = 787,317.25 × 787,317.25
  4. Step 4: Simplify right side
    508,700x = 619,868,452,147.56
  5. Step 5: Solve for x
    x = 619,868,452,147.56/508,700
  6. Step 6: Final answer
    x = 1,218,534.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.