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Finding the Third Proportional to 518,368.50 and 811,411.50

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Solution

The third proportional to 518,368.50 and 811,411.50 is: 1,270,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,368.50 : 811,411.50 = 811,411.50 : x
  2. Step 2: Convert to fraction form
    518,368.50/811,411.50 = 811,411.50/x
  3. Step 3: Cross multiply
    518,368.50x = 811,411.50 × 811,411.50
  4. Step 4: Simplify right side
    518,368.50x = 658,388,622,332.25
  5. Step 5: Solve for x
    x = 658,388,622,332.25/518,368.50
  6. Step 6: Final answer
    x = 1,270,116.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.