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Finding the Third Proportional to 463,856.63 and 679,200.19

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Solution

The third proportional to 463,856.63 and 679,200.19 is: 994,516.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,856.63 : 679,200.19 = 679,200.19 : x
  2. Step 2: Convert to fraction form
    463,856.63/679,200.19 = 679,200.19/x
  3. Step 3: Cross multiply
    463,856.63x = 679,200.19 × 679,200.19
  4. Step 4: Simplify right side
    463,856.63x = 461,312,894,700.04
  5. Step 5: Solve for x
    x = 461,312,894,700.04/463,856.63
  6. Step 6: Final answer
    x = 994,516.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.