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Finding the Third Proportional to 551,250.56 and 830,082.94

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Solution

The third proportional to 551,250.56 and 830,082.94 is: 1,249,953.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,250.56 : 830,082.94 = 830,082.94 : x
  2. Step 2: Convert to fraction form
    551,250.56/830,082.94 = 830,082.94/x
  3. Step 3: Cross multiply
    551,250.56x = 830,082.94 × 830,082.94
  4. Step 4: Simplify right side
    551,250.56x = 689,037,683,128.63
  5. Step 5: Solve for x
    x = 689,037,683,128.63/551,250.56
  6. Step 6: Final answer
    x = 1,249,953.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.