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Finding the Third Proportional to 475,903 and 700,696

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Solution

The third proportional to 475,903 and 700,696 is: 1,031,670.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,903 : 700,696 = 700,696 : x
  2. Step 2: Convert to fraction form
    475,903/700,696 = 700,696/x
  3. Step 3: Cross multiply
    475,903x = 700,696 × 700,696
  4. Step 4: Simplify right side
    475,903x = 490,974,884,416
  5. Step 5: Solve for x
    x = 490,974,884,416/475,903
  6. Step 6: Final answer
    x = 1,031,670.08

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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.