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Finding the Third Proportional to 475,807 and 700,567

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Solution

The third proportional to 475,807 and 700,567 is: 1,031,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,807 : 700,567 = 700,567 : x
  2. Step 2: Convert to fraction form
    475,807/700,567 = 700,567/x
  3. Step 3: Cross multiply
    475,807x = 700,567 × 700,567
  4. Step 4: Simplify right side
    475,807x = 490,794,121,489
  5. Step 5: Solve for x
    x = 490,794,121,489/475,807
  6. Step 6: Final answer
    x = 1,031,498.32

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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.