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Finding the Third Proportional to 531,220.50 and 801,277

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Solution

The third proportional to 531,220.50 and 801,277 is: 1,208,622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,220.50 : 801,277 = 801,277 : x
  2. Step 2: Convert to fraction form
    531,220.50/801,277 = 801,277/x
  3. Step 3: Cross multiply
    531,220.50x = 801,277 × 801,277
  4. Step 4: Simplify right side
    531,220.50x = 642,044,830,729
  5. Step 5: Solve for x
    x = 642,044,830,729/531,220.50
  6. Step 6: Final answer
    x = 1,208,622.09

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