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Finding the Third Proportional to 413,937 and 607,275

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Solution

The third proportional to 413,937 and 607,275 is: 890,915.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,937 : 607,275 = 607,275 : x
  2. Step 2: Convert to fraction form
    413,937/607,275 = 607,275/x
  3. Step 3: Cross multiply
    413,937x = 607,275 × 607,275
  4. Step 4: Simplify right side
    413,937x = 368,782,925,625
  5. Step 5: Solve for x
    x = 368,782,925,625/413,937
  6. Step 6: Final answer
    x = 890,915.59

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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.