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Finding the Third Proportional to 475,806 and 700,560

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Solution

The third proportional to 475,806 and 700,560 is: 1,031,479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,806 : 700,560 = 700,560 : x
  2. Step 2: Convert to fraction form
    475,806/700,560 = 700,560/x
  3. Step 3: Cross multiply
    475,806x = 700,560 × 700,560
  4. Step 4: Simplify right side
    475,806x = 490,784,313,600
  5. Step 5: Solve for x
    x = 490,784,313,600/475,806
  6. Step 6: Final answer
    x = 1,031,479.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.