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Finding the Third Proportional to 475,438.50 and 647,547.75

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Solution

The third proportional to 475,438.50 and 647,547.75 is: 881,960.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,438.50 : 647,547.75 = 647,547.75 : x
  2. Step 2: Convert to fraction form
    475,438.50/647,547.75 = 647,547.75/x
  3. Step 3: Cross multiply
    475,438.50x = 647,547.75 × 647,547.75
  4. Step 4: Simplify right side
    475,438.50x = 419,318,088,530.06
  5. Step 5: Solve for x
    x = 419,318,088,530.06/475,438.50
  6. Step 6: Final answer
    x = 881,960.73

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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.