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Finding the Third Proportional to 232,292 and 492,495

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Solution

The third proportional to 232,292 and 492,495 is: 1,044,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,292 : 492,495 = 492,495 : x
  2. Step 2: Convert to fraction form
    232,292/492,495 = 492,495/x
  3. Step 3: Cross multiply
    232,292x = 492,495 × 492,495
  4. Step 4: Simplify right side
    232,292x = 242,551,325,025
  5. Step 5: Solve for x
    x = 242,551,325,025/232,292
  6. Step 6: Final answer
    x = 1,044,165.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.