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Finding the Third Proportional to 367,548 and 779,706

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Solution

The third proportional to 367,548 and 779,706 is: 1,654,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,548 : 779,706 = 779,706 : x
  2. Step 2: Convert to fraction form
    367,548/779,706 = 779,706/x
  3. Step 3: Cross multiply
    367,548x = 779,706 × 779,706
  4. Step 4: Simplify right side
    367,548x = 607,941,446,436
  5. Step 5: Solve for x
    x = 607,941,446,436/367,548
  6. Step 6: Final answer
    x = 1,654,046.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.