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Finding the Third Proportional to 678,847.50 and 1,006,516.13

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Solution

The third proportional to 678,847.50 and 1,006,516.13 is: 1,492,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,847.50 : 1,006,516.13 = 1,006,516.13 : x
  2. Step 2: Convert to fraction form
    678,847.50/1,006,516.13 = 1,006,516.13/x
  3. Step 3: Cross multiply
    678,847.50x = 1,006,516.13 × 1,006,516.13
  4. Step 4: Simplify right side
    678,847.50x = 1,013,074,709,885.02
  5. Step 5: Solve for x
    x = 1,013,074,709,885.02/678,847.50
  6. Step 6: Final answer
    x = 1,492,345.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.