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Finding the Third Proportional to 553,380.50 and 846,129

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Solution

The third proportional to 553,380.50 and 846,129 is: 1,293,746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,380.50 : 846,129 = 846,129 : x
  2. Step 2: Convert to fraction form
    553,380.50/846,129 = 846,129/x
  3. Step 3: Cross multiply
    553,380.50x = 846,129 × 846,129
  4. Step 4: Simplify right side
    553,380.50x = 715,934,284,641
  5. Step 5: Solve for x
    x = 715,934,284,641/553,380.50
  6. Step 6: Final answer
    x = 1,293,746.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.