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Finding the Third Proportional to 359,863 and 537,811

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Solution

The third proportional to 359,863 and 537,811 is: 803,752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,863 : 537,811 = 537,811 : x
  2. Step 2: Convert to fraction form
    359,863/537,811 = 537,811/x
  3. Step 3: Cross multiply
    359,863x = 537,811 × 537,811
  4. Step 4: Simplify right side
    359,863x = 289,240,671,721
  5. Step 5: Solve for x
    x = 289,240,671,721/359,863
  6. Step 6: Final answer
    x = 803,752.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.