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Finding the Third Proportional to 610,539.75 and 897,520.50

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Solution

The third proportional to 610,539.75 and 897,520.50 is: 1,319,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,539.75 : 897,520.50 = 897,520.50 : x
  2. Step 2: Convert to fraction form
    610,539.75/897,520.50 = 897,520.50/x
  3. Step 3: Cross multiply
    610,539.75x = 897,520.50 × 897,520.50
  4. Step 4: Simplify right side
    610,539.75x = 805,543,047,920.25
  5. Step 5: Solve for x
    x = 805,543,047,920.25/610,539.75
  6. Step 6: Final answer
    x = 1,319,394.93

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Why These Related Problems?

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