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Finding the Third Proportional to 415,752 and 904,392

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Solution

The third proportional to 415,752 and 904,392 is: 1,967,338.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,752 : 904,392 = 904,392 : x
  2. Step 2: Convert to fraction form
    415,752/904,392 = 904,392/x
  3. Step 3: Cross multiply
    415,752x = 904,392 × 904,392
  4. Step 4: Simplify right side
    415,752x = 817,924,889,664
  5. Step 5: Solve for x
    x = 817,924,889,664/415,752
  6. Step 6: Final answer
    x = 1,967,338.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.