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Finding the Third Proportional to 236,462 and 357,490

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Solution

The third proportional to 236,462 and 357,490 is: 540,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,462 : 357,490 = 357,490 : x
  2. Step 2: Convert to fraction form
    236,462/357,490 = 357,490/x
  3. Step 3: Cross multiply
    236,462x = 357,490 × 357,490
  4. Step 4: Simplify right side
    236,462x = 127,799,100,100
  5. Step 5: Solve for x
    x = 127,799,100,100/236,462
  6. Step 6: Final answer
    x = 540,463.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.