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Finding the Third Proportional to 359,472 and 782,364

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Solution

The third proportional to 359,472 and 782,364 is: 1,702,756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,472 : 782,364 = 782,364 : x
  2. Step 2: Convert to fraction form
    359,472/782,364 = 782,364/x
  3. Step 3: Cross multiply
    359,472x = 782,364 × 782,364
  4. Step 4: Simplify right side
    359,472x = 612,093,428,496
  5. Step 5: Solve for x
    x = 612,093,428,496/359,472
  6. Step 6: Final answer
    x = 1,702,756.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.