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Finding the Third Proportional to 475,899 and 700,690.50

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Solution

The third proportional to 475,899 and 700,690.50 is: 1,031,662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,899 : 700,690.50 = 700,690.50 : x
  2. Step 2: Convert to fraction form
    475,899/700,690.50 = 700,690.50/x
  3. Step 3: Cross multiply
    475,899x = 700,690.50 × 700,690.50
  4. Step 4: Simplify right side
    475,899x = 490,967,176,790.25
  5. Step 5: Solve for x
    x = 490,967,176,790.25/475,899
  6. Step 6: Final answer
    x = 1,031,662.55

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.