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Finding the Third Proportional to 610,541.50 and 897,519

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Solution

The third proportional to 610,541.50 and 897,519 is: 1,319,386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,541.50 : 897,519 = 897,519 : x
  2. Step 2: Convert to fraction form
    610,541.50/897,519 = 897,519/x
  3. Step 3: Cross multiply
    610,541.50x = 897,519 × 897,519
  4. Step 4: Simplify right side
    610,541.50x = 805,540,355,361
  5. Step 5: Solve for x
    x = 805,540,355,361/610,541.50
  6. Step 6: Final answer
    x = 1,319,386.73

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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.