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Finding the Third Proportional to 418,976 and 904,352

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Solution

The third proportional to 418,976 and 904,352 is: 1,952,027.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,976 : 904,352 = 904,352 : x
  2. Step 2: Convert to fraction form
    418,976/904,352 = 904,352/x
  3. Step 3: Cross multiply
    418,976x = 904,352 × 904,352
  4. Step 4: Simplify right side
    418,976x = 817,852,539,904
  5. Step 5: Solve for x
    x = 817,852,539,904/418,976
  6. Step 6: Final answer
    x = 1,952,027.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.