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Finding the Third Proportional to 610,467 and 897,433.50

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Solution

The third proportional to 610,467 and 897,433.50 is: 1,319,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,467 : 897,433.50 = 897,433.50 : x
  2. Step 2: Convert to fraction form
    610,467/897,433.50 = 897,433.50/x
  3. Step 3: Cross multiply
    610,467x = 897,433.50 × 897,433.50
  4. Step 4: Simplify right side
    610,467x = 805,386,886,922.25
  5. Step 5: Solve for x
    x = 805,386,886,922.25/610,467
  6. Step 6: Final answer
    x = 1,319,296.35

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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.