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Finding the Third Proportional to 450,282 and 684,706.50

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Solution

The third proportional to 450,282 and 684,706.50 is: 1,041,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,282 : 684,706.50 = 684,706.50 : x
  2. Step 2: Convert to fraction form
    450,282/684,706.50 = 684,706.50/x
  3. Step 3: Cross multiply
    450,282x = 684,706.50 × 684,706.50
  4. Step 4: Simplify right side
    450,282x = 468,822,991,142.25
  5. Step 5: Solve for x
    x = 468,822,991,142.25/450,282
  6. Step 6: Final answer
    x = 1,041,176.40

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.