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Finding the Third Proportional to 522,746 and 813,935

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Solution

The third proportional to 522,746 and 813,935 is: 1,267,327.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,746 : 813,935 = 813,935 : x
  2. Step 2: Convert to fraction form
    522,746/813,935 = 813,935/x
  3. Step 3: Cross multiply
    522,746x = 813,935 × 813,935
  4. Step 4: Simplify right side
    522,746x = 662,490,184,225
  5. Step 5: Solve for x
    x = 662,490,184,225/522,746
  6. Step 6: Final answer
    x = 1,267,327.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.