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Finding the Third Proportional to 229,420 and 492,065

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Solution

The third proportional to 229,420 and 492,065 is: 1,055,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,420 : 492,065 = 492,065 : x
  2. Step 2: Convert to fraction form
    229,420/492,065 = 492,065/x
  3. Step 3: Cross multiply
    229,420x = 492,065 × 492,065
  4. Step 4: Simplify right side
    229,420x = 242,127,964,225
  5. Step 5: Solve for x
    x = 242,127,964,225/229,420
  6. Step 6: Final answer
    x = 1,055,391.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.