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Finding the Third Proportional to 517,019.25 and 776,076

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Solution

The third proportional to 517,019.25 and 776,076 is: 1,164,935.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,019.25 : 776,076 = 776,076 : x
  2. Step 2: Convert to fraction form
    517,019.25/776,076 = 776,076/x
  3. Step 3: Cross multiply
    517,019.25x = 776,076 × 776,076
  4. Step 4: Simplify right side
    517,019.25x = 602,293,957,776
  5. Step 5: Solve for x
    x = 602,293,957,776/517,019.25
  6. Step 6: Final answer
    x = 1,164,935.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.