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Finding the Third Proportional to 402,792.75 and 877,473

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Solution

The third proportional to 402,792.75 and 877,473 is: 1,911,550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,792.75 : 877,473 = 877,473 : x
  2. Step 2: Convert to fraction form
    402,792.75/877,473 = 877,473/x
  3. Step 3: Cross multiply
    402,792.75x = 877,473 × 877,473
  4. Step 4: Simplify right side
    402,792.75x = 769,958,865,729
  5. Step 5: Solve for x
    x = 769,958,865,729/402,792.75
  6. Step 6: Final answer
    x = 1,911,550.95

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