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Finding the Third Proportional to 475,431 and 647,536.50

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Solution

The third proportional to 475,431 and 647,536.50 is: 881,944.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,431 : 647,536.50 = 647,536.50 : x
  2. Step 2: Convert to fraction form
    475,431/647,536.50 = 647,536.50/x
  3. Step 3: Cross multiply
    475,431x = 647,536.50 × 647,536.50
  4. Step 4: Simplify right side
    475,431x = 419,303,518,832.25
  5. Step 5: Solve for x
    x = 419,303,518,832.25/475,431
  6. Step 6: Final answer
    x = 881,944.00

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.