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Finding the Third Proportional to 517,040 and 776,106

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Solution

The third proportional to 517,040 and 776,106 is: 1,164,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,040 : 776,106 = 776,106 : x
  2. Step 2: Convert to fraction form
    517,040/776,106 = 776,106/x
  3. Step 3: Cross multiply
    517,040x = 776,106 × 776,106
  4. Step 4: Simplify right side
    517,040x = 602,340,523,236
  5. Step 5: Solve for x
    x = 602,340,523,236/517,040
  6. Step 6: Final answer
    x = 1,164,978.58

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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.