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Finding the Third Proportional to 563,871 and 1,215,766.50

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Solution

The third proportional to 563,871 and 1,215,766.50 is: 2,621,323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,871 : 1,215,766.50 = 1,215,766.50 : x
  2. Step 2: Convert to fraction form
    563,871/1,215,766.50 = 1,215,766.50/x
  3. Step 3: Cross multiply
    563,871x = 1,215,766.50 × 1,215,766.50
  4. Step 4: Simplify right side
    563,871x = 1,478,088,182,522.25
  5. Step 5: Solve for x
    x = 1,478,088,182,522.25/563,871
  6. Step 6: Final answer
    x = 2,621,323.29

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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.