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Finding the Third Proportional to 700,977.50 and 1,050,278

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Solution

The third proportional to 700,977.50 and 1,050,278 is: 1,573,636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,977.50 : 1,050,278 = 1,050,278 : x
  2. Step 2: Convert to fraction form
    700,977.50/1,050,278 = 1,050,278/x
  3. Step 3: Cross multiply
    700,977.50x = 1,050,278 × 1,050,278
  4. Step 4: Simplify right side
    700,977.50x = 1,103,083,877,284
  5. Step 5: Solve for x
    x = 1,103,083,877,284/700,977.50
  6. Step 6: Final answer
    x = 1,573,636.64

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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.