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Finding the Third Proportional to 315,486 and 684,004.50

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Solution

The third proportional to 315,486 and 684,004.50 is: 1,482,988.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,486 : 684,004.50 = 684,004.50 : x
  2. Step 2: Convert to fraction form
    315,486/684,004.50 = 684,004.50/x
  3. Step 3: Cross multiply
    315,486x = 684,004.50 × 684,004.50
  4. Step 4: Simplify right side
    315,486x = 467,862,156,020.25
  5. Step 5: Solve for x
    x = 467,862,156,020.25/315,486
  6. Step 6: Final answer
    x = 1,482,988.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.