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Finding the Third Proportional to 317,185.88 and 714,217.50

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Solution

The third proportional to 317,185.88 and 714,217.50 is: 1,608,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,185.88 : 714,217.50 = 714,217.50 : x
  2. Step 2: Convert to fraction form
    317,185.88/714,217.50 = 714,217.50/x
  3. Step 3: Cross multiply
    317,185.88x = 714,217.50 × 714,217.50
  4. Step 4: Simplify right side
    317,185.88x = 510,106,637,306.25
  5. Step 5: Solve for x
    x = 510,106,637,306.25/317,185.88
  6. Step 6: Final answer
    x = 1,608,226.21

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.