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Finding the Third Proportional to 517,032 and 776,095

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Solution

The third proportional to 517,032 and 776,095 is: 1,164,963.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,032 : 776,095 = 776,095 : x
  2. Step 2: Convert to fraction form
    517,032/776,095 = 776,095/x
  3. Step 3: Cross multiply
    517,032x = 776,095 × 776,095
  4. Step 4: Simplify right side
    517,032x = 602,323,449,025
  5. Step 5: Solve for x
    x = 602,323,449,025/517,032
  6. Step 6: Final answer
    x = 1,164,963.58

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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.