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Finding the Third Proportional to 359,042 and 756,964

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Solution

The third proportional to 359,042 and 756,964 is: 1,595,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,042 : 756,964 = 756,964 : x
  2. Step 2: Convert to fraction form
    359,042/756,964 = 756,964/x
  3. Step 3: Cross multiply
    359,042x = 756,964 × 756,964
  4. Step 4: Simplify right side
    359,042x = 572,994,497,296
  5. Step 5: Solve for x
    x = 572,994,497,296/359,042
  6. Step 6: Final answer
    x = 1,595,898.24

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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.