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Finding the Third Proportional to 572,079 and 776,952

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Solution

The third proportional to 572,079 and 776,952 is: 1,055,194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,079 : 776,952 = 776,952 : x
  2. Step 2: Convert to fraction form
    572,079/776,952 = 776,952/x
  3. Step 3: Cross multiply
    572,079x = 776,952 × 776,952
  4. Step 4: Simplify right side
    572,079x = 603,654,410,304
  5. Step 5: Solve for x
    x = 603,654,410,304/572,079
  6. Step 6: Final answer
    x = 1,055,194.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.