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Finding the Third Proportional to 531,524 and 807,123

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Solution

The third proportional to 531,524 and 807,123 is: 1,225,622.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,524 : 807,123 = 807,123 : x
  2. Step 2: Convert to fraction form
    531,524/807,123 = 807,123/x
  3. Step 3: Cross multiply
    531,524x = 807,123 × 807,123
  4. Step 4: Simplify right side
    531,524x = 651,447,537,129
  5. Step 5: Solve for x
    x = 651,447,537,129/531,524
  6. Step 6: Final answer
    x = 1,225,622.05

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Why These Related Problems?

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