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Finding the Third Proportional to 359,040 and 756,960

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Solution

The third proportional to 359,040 and 756,960 is: 1,595,890.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,040 : 756,960 = 756,960 : x
  2. Step 2: Convert to fraction form
    359,040/756,960 = 756,960/x
  3. Step 3: Cross multiply
    359,040x = 756,960 × 756,960
  4. Step 4: Simplify right side
    359,040x = 572,988,441,600
  5. Step 5: Solve for x
    x = 572,988,441,600/359,040
  6. Step 6: Final answer
    x = 1,595,890.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.