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Finding the Third Proportional to 229,657 and 492,532

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Solution

The third proportional to 229,657 and 492,532 is: 1,056,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,657 : 492,532 = 492,532 : x
  2. Step 2: Convert to fraction form
    229,657/492,532 = 492,532/x
  3. Step 3: Cross multiply
    229,657x = 492,532 × 492,532
  4. Step 4: Simplify right side
    229,657x = 242,587,771,024
  5. Step 5: Solve for x
    x = 242,587,771,024/229,657
  6. Step 6: Final answer
    x = 1,056,304.71

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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.