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Finding the Third Proportional to 229,911 and 502,590

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Solution

The third proportional to 229,911 and 502,590 is: 1,098,671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,911 : 502,590 = 502,590 : x
  2. Step 2: Convert to fraction form
    229,911/502,590 = 502,590/x
  3. Step 3: Cross multiply
    229,911x = 502,590 × 502,590
  4. Step 4: Simplify right side
    229,911x = 252,596,708,100
  5. Step 5: Solve for x
    x = 252,596,708,100/229,911
  6. Step 6: Final answer
    x = 1,098,671.70

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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.