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Finding the Third Proportional to 229,784 and 502,240

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Solution

The third proportional to 229,784 and 502,240 is: 1,097,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,784 : 502,240 = 502,240 : x
  2. Step 2: Convert to fraction form
    229,784/502,240 = 502,240/x
  3. Step 3: Cross multiply
    229,784x = 502,240 × 502,240
  4. Step 4: Simplify right side
    229,784x = 252,245,017,600
  5. Step 5: Solve for x
    x = 252,245,017,600/229,784
  6. Step 6: Final answer
    x = 1,097,748.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.