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Finding the Third Proportional to 517,016.25 and 776,071.13

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Solution

The third proportional to 517,016.25 and 776,071.13 is: 1,164,927.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,016.25 : 776,071.13 = 776,071.13 : x
  2. Step 2: Convert to fraction form
    517,016.25/776,071.13 = 776,071.13/x
  3. Step 3: Cross multiply
    517,016.25x = 776,071.13 × 776,071.13
  4. Step 4: Simplify right side
    517,016.25x = 602,286,391,058.77
  5. Step 5: Solve for x
    x = 602,286,391,058.77/517,016.25
  6. Step 6: Final answer
    x = 1,164,927.39

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Why These Related Problems?

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