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Finding the Third Proportional to 415,200 and 907,952

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Solution

The third proportional to 415,200 and 907,952 is: 1,985,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,200 : 907,952 = 907,952 : x
  2. Step 2: Convert to fraction form
    415,200/907,952 = 907,952/x
  3. Step 3: Cross multiply
    415,200x = 907,952 × 907,952
  4. Step 4: Simplify right side
    415,200x = 824,376,834,304
  5. Step 5: Solve for x
    x = 824,376,834,304/415,200
  6. Step 6: Final answer
    x = 1,985,493.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.