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Finding the Third Proportional to 362,512 and 553,312

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Solution

The third proportional to 362,512 and 553,312 is: 844,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,512 : 553,312 = 553,312 : x
  2. Step 2: Convert to fraction form
    362,512/553,312 = 553,312/x
  3. Step 3: Cross multiply
    362,512x = 553,312 × 553,312
  4. Step 4: Simplify right side
    362,512x = 306,154,169,344
  5. Step 5: Solve for x
    x = 306,154,169,344/362,512
  6. Step 6: Final answer
    x = 844,535.27

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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.