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Finding the Third Proportional to 651,721.50 and 910,471.50

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Solution

The third proportional to 651,721.50 and 910,471.50 is: 1,271,951.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,721.50 : 910,471.50 = 910,471.50 : x
  2. Step 2: Convert to fraction form
    651,721.50/910,471.50 = 910,471.50/x
  3. Step 3: Cross multiply
    651,721.50x = 910,471.50 × 910,471.50
  4. Step 4: Simplify right side
    651,721.50x = 828,958,352,312.25
  5. Step 5: Solve for x
    x = 828,958,352,312.25/651,721.50
  6. Step 6: Final answer
    x = 1,271,951.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.