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Finding the Third Proportional to 410,346 and 601,344

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Solution

The third proportional to 410,346 and 601,344 is: 881,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,346 : 601,344 = 601,344 : x
  2. Step 2: Convert to fraction form
    410,346/601,344 = 601,344/x
  3. Step 3: Cross multiply
    410,346x = 601,344 × 601,344
  4. Step 4: Simplify right side
    410,346x = 361,614,606,336
  5. Step 5: Solve for x
    x = 361,614,606,336/410,346
  6. Step 6: Final answer
    x = 881,243.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.