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Finding the Third Proportional to 467,355 and 700,258.50

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Solution

The third proportional to 467,355 and 700,258.50 is: 1,049,228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,355 : 700,258.50 = 700,258.50 : x
  2. Step 2: Convert to fraction form
    467,355/700,258.50 = 700,258.50/x
  3. Step 3: Cross multiply
    467,355x = 700,258.50 × 700,258.50
  4. Step 4: Simplify right side
    467,355x = 490,361,966,822.25
  5. Step 5: Solve for x
    x = 490,361,966,822.25/467,355
  6. Step 6: Final answer
    x = 1,049,228.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.