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Finding the Third Proportional to 475,896 and 700,686

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Solution

The third proportional to 475,896 and 700,686 is: 1,031,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,896 : 700,686 = 700,686 : x
  2. Step 2: Convert to fraction form
    475,896/700,686 = 700,686/x
  3. Step 3: Cross multiply
    475,896x = 700,686 × 700,686
  4. Step 4: Simplify right side
    475,896x = 490,960,870,596
  5. Step 5: Solve for x
    x = 490,960,870,596/475,896
  6. Step 6: Final answer
    x = 1,031,655.80

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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.