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Finding the Third Proportional to 475,864 and 700,656

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Solution

The third proportional to 475,864 and 700,656 is: 1,031,636.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,864 : 700,656 = 700,656 : x
  2. Step 2: Convert to fraction form
    475,864/700,656 = 700,656/x
  3. Step 3: Cross multiply
    475,864x = 700,656 × 700,656
  4. Step 4: Simplify right side
    475,864x = 490,918,830,336
  5. Step 5: Solve for x
    x = 490,918,830,336/475,864
  6. Step 6: Final answer
    x = 1,031,636.83

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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.