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Finding the Third Proportional to 517,030 and 776,092

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Solution

The third proportional to 517,030 and 776,092 is: 1,164,959.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,030 : 776,092 = 776,092 : x
  2. Step 2: Convert to fraction form
    517,030/776,092 = 776,092/x
  3. Step 3: Cross multiply
    517,030x = 776,092 × 776,092
  4. Step 4: Simplify right side
    517,030x = 602,318,792,464
  5. Step 5: Solve for x
    x = 602,318,792,464/517,030
  6. Step 6: Final answer
    x = 1,164,959.08

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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.