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Finding the Third Proportional to 630,258 and 906,019.50

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Solution

The third proportional to 630,258 and 906,019.50 is: 1,302,436.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,258 : 906,019.50 = 906,019.50 : x
  2. Step 2: Convert to fraction form
    630,258/906,019.50 = 906,019.50/x
  3. Step 3: Cross multiply
    630,258x = 906,019.50 × 906,019.50
  4. Step 4: Simplify right side
    630,258x = 820,871,334,380.25
  5. Step 5: Solve for x
    x = 820,871,334,380.25/630,258
  6. Step 6: Final answer
    x = 1,302,436.99

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.