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Finding the Third Proportional to 700,943.63 and 1,050,235.88

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Solution

The third proportional to 700,943.63 and 1,050,235.88 is: 1,573,586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,943.63 : 1,050,235.88 = 1,050,235.88 : x
  2. Step 2: Convert to fraction form
    700,943.63/1,050,235.88 = 1,050,235.88/x
  3. Step 3: Cross multiply
    700,943.63x = 1,050,235.88 × 1,050,235.88
  4. Step 4: Simplify right side
    700,943.63x = 1,102,995,393,137.02
  5. Step 5: Solve for x
    x = 1,102,995,393,137.02/700,943.63
  6. Step 6: Final answer
    x = 1,573,586.45

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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.