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Finding the Third Proportional to 645,301 and 1,002,466.50

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Solution

The third proportional to 645,301 and 1,002,466.50 is: 1,557,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,301 : 1,002,466.50 = 1,002,466.50 : x
  2. Step 2: Convert to fraction form
    645,301/1,002,466.50 = 1,002,466.50/x
  3. Step 3: Cross multiply
    645,301x = 1,002,466.50 × 1,002,466.50
  4. Step 4: Simplify right side
    645,301x = 1,004,939,083,622.25
  5. Step 5: Solve for x
    x = 1,004,939,083,622.25/645,301
  6. Step 6: Final answer
    x = 1,557,318.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.