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Finding the Third Proportional to 596,055 and 1,277,335.50

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Solution

The third proportional to 596,055 and 1,277,335.50 is: 2,737,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,055 : 1,277,335.50 = 1,277,335.50 : x
  2. Step 2: Convert to fraction form
    596,055/1,277,335.50 = 1,277,335.50/x
  3. Step 3: Cross multiply
    596,055x = 1,277,335.50 × 1,277,335.50
  4. Step 4: Simplify right side
    596,055x = 1,631,585,979,560.25
  5. Step 5: Solve for x
    x = 1,631,585,979,560.25/596,055
  6. Step 6: Final answer
    x = 2,737,307.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.