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Finding the Third Proportional to 376,169 and 583,117

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Solution

The third proportional to 376,169 and 583,117 is: 903,916.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,169 : 583,117 = 583,117 : x
  2. Step 2: Convert to fraction form
    376,169/583,117 = 583,117/x
  3. Step 3: Cross multiply
    376,169x = 583,117 × 583,117
  4. Step 4: Simplify right side
    376,169x = 340,025,435,689
  5. Step 5: Solve for x
    x = 340,025,435,689/376,169
  6. Step 6: Final answer
    x = 903,916.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.