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Finding the Third Proportional to 336,348 and 470,988

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Solution

The third proportional to 336,348 and 470,988 is: 659,524.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,348 : 470,988 = 470,988 : x
  2. Step 2: Convert to fraction form
    336,348/470,988 = 470,988/x
  3. Step 3: Cross multiply
    336,348x = 470,988 × 470,988
  4. Step 4: Simplify right side
    336,348x = 221,829,696,144
  5. Step 5: Solve for x
    x = 221,829,696,144/336,348
  6. Step 6: Final answer
    x = 659,524.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.