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Finding the Third Proportional to 565,461 and 743,215.50

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Solution

The third proportional to 565,461 and 743,215.50 is: 976,847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,461 : 743,215.50 = 743,215.50 : x
  2. Step 2: Convert to fraction form
    565,461/743,215.50 = 743,215.50/x
  3. Step 3: Cross multiply
    565,461x = 743,215.50 × 743,215.50
  4. Step 4: Simplify right side
    565,461x = 552,369,279,440.25
  5. Step 5: Solve for x
    x = 552,369,279,440.25/565,461
  6. Step 6: Final answer
    x = 976,847.70

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.