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Finding the Third Proportional to 286,389 and 433,201.50

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Solution

The third proportional to 286,389 and 433,201.50 is: 655,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,389 : 433,201.50 = 433,201.50 : x
  2. Step 2: Convert to fraction form
    286,389/433,201.50 = 433,201.50/x
  3. Step 3: Cross multiply
    286,389x = 433,201.50 × 433,201.50
  4. Step 4: Simplify right side
    286,389x = 187,663,539,602.25
  5. Step 5: Solve for x
    x = 187,663,539,602.25/286,389
  6. Step 6: Final answer
    x = 655,274.96

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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.