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Finding the Third Proportional to 368,562 and 564,492

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Solution

The third proportional to 368,562 and 564,492 is: 864,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,562 : 564,492 = 564,492 : x
  2. Step 2: Convert to fraction form
    368,562/564,492 = 564,492/x
  3. Step 3: Cross multiply
    368,562x = 564,492 × 564,492
  4. Step 4: Simplify right side
    368,562x = 318,651,218,064
  5. Step 5: Solve for x
    x = 318,651,218,064/368,562
  6. Step 6: Final answer
    x = 864,579.69

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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.