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Finding the Third Proportional to 475,091 and 700,035

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Solution

The third proportional to 475,091 and 700,035 is: 1,031,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,091 : 700,035 = 700,035 : x
  2. Step 2: Convert to fraction form
    475,091/700,035 = 700,035/x
  3. Step 3: Cross multiply
    475,091x = 700,035 × 700,035
  4. Step 4: Simplify right side
    475,091x = 490,049,001,225
  5. Step 5: Solve for x
    x = 490,049,001,225/475,091
  6. Step 6: Final answer
    x = 1,031,484.50

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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.