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Finding the Third Proportional to 700,981 and 1,050,302

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Solution

The third proportional to 700,981 and 1,050,302 is: 1,573,700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,981 : 1,050,302 = 1,050,302 : x
  2. Step 2: Convert to fraction form
    700,981/1,050,302 = 1,050,302/x
  3. Step 3: Cross multiply
    700,981x = 1,050,302 × 1,050,302
  4. Step 4: Simplify right side
    700,981x = 1,103,134,291,204
  5. Step 5: Solve for x
    x = 1,103,134,291,204/700,981
  6. Step 6: Final answer
    x = 1,573,700.70

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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.