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Finding the Third Proportional to 475,796 and 700,545

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Solution

The third proportional to 475,796 and 700,545 is: 1,031,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,796 : 700,545 = 700,545 : x
  2. Step 2: Convert to fraction form
    475,796/700,545 = 700,545/x
  3. Step 3: Cross multiply
    475,796x = 700,545 × 700,545
  4. Step 4: Simplify right side
    475,796x = 490,763,297,025
  5. Step 5: Solve for x
    x = 490,763,297,025/475,796
  6. Step 6: Final answer
    x = 1,031,457.38

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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.