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Finding the Third Proportional to 572,022 and 838,903.50

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Solution

The third proportional to 572,022 and 838,903.50 is: 1,230,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,022 : 838,903.50 = 838,903.50 : x
  2. Step 2: Convert to fraction form
    572,022/838,903.50 = 838,903.50/x
  3. Step 3: Cross multiply
    572,022x = 838,903.50 × 838,903.50
  4. Step 4: Simplify right side
    572,022x = 703,759,082,312.25
  5. Step 5: Solve for x
    x = 703,759,082,312.25/572,022
  6. Step 6: Final answer
    x = 1,230,300.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.