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Finding the Third Proportional to 360,569 and 778,258.50

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Solution

The third proportional to 360,569 and 778,258.50 is: 1,679,806.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,569 : 778,258.50 = 778,258.50 : x
  2. Step 2: Convert to fraction form
    360,569/778,258.50 = 778,258.50/x
  3. Step 3: Cross multiply
    360,569x = 778,258.50 × 778,258.50
  4. Step 4: Simplify right side
    360,569x = 605,686,292,822.25
  5. Step 5: Solve for x
    x = 605,686,292,822.25/360,569
  6. Step 6: Final answer
    x = 1,679,806.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.