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Finding the Third Proportional to 407,880 and 573,364.50

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Solution

The third proportional to 407,880 and 573,364.50 is: 805,989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,880 : 573,364.50 = 573,364.50 : x
  2. Step 2: Convert to fraction form
    407,880/573,364.50 = 573,364.50/x
  3. Step 3: Cross multiply
    407,880x = 573,364.50 × 573,364.50
  4. Step 4: Simplify right side
    407,880x = 328,746,849,860.25
  5. Step 5: Solve for x
    x = 328,746,849,860.25/407,880
  6. Step 6: Final answer
    x = 805,989.14

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.