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Finding the Third Proportional to 565,203.50 and 847,814

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Solution

The third proportional to 565,203.50 and 847,814 is: 1,271,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,203.50 : 847,814 = 847,814 : x
  2. Step 2: Convert to fraction form
    565,203.50/847,814 = 847,814/x
  3. Step 3: Cross multiply
    565,203.50x = 847,814 × 847,814
  4. Step 4: Simplify right side
    565,203.50x = 718,788,578,596
  5. Step 5: Solve for x
    x = 718,788,578,596/565,203.50
  6. Step 6: Final answer
    x = 1,271,734.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.