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Finding the Third Proportional to 473,272 and 714,855

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Solution

The third proportional to 473,272 and 714,855 is: 1,079,754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,272 : 714,855 = 714,855 : x
  2. Step 2: Convert to fraction form
    473,272/714,855 = 714,855/x
  3. Step 3: Cross multiply
    473,272x = 714,855 × 714,855
  4. Step 4: Simplify right side
    473,272x = 511,017,671,025
  5. Step 5: Solve for x
    x = 511,017,671,025/473,272
  6. Step 6: Final answer
    x = 1,079,754.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.