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Finding the Third Proportional to 486,347.63 and 776,951.16

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Solution

The third proportional to 486,347.63 and 776,951.16 is: 1,241,196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,347.63 : 776,951.16 = 776,951.16 : x
  2. Step 2: Convert to fraction form
    486,347.63/776,951.16 = 776,951.16/x
  3. Step 3: Cross multiply
    486,347.63x = 776,951.16 × 776,951.16
  4. Step 4: Simplify right side
    486,347.63x = 603,653,099,198.21
  5. Step 5: Solve for x
    x = 603,653,099,198.21/486,347.63
  6. Step 6: Final answer
    x = 1,241,196.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.