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Finding the Third Proportional to 434,010 and 671,952

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Solution

The third proportional to 434,010 and 671,952 is: 1,040,343.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,010 : 671,952 = 671,952 : x
  2. Step 2: Convert to fraction form
    434,010/671,952 = 671,952/x
  3. Step 3: Cross multiply
    434,010x = 671,952 × 671,952
  4. Step 4: Simplify right side
    434,010x = 451,519,490,304
  5. Step 5: Solve for x
    x = 451,519,490,304/434,010
  6. Step 6: Final answer
    x = 1,040,343.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.