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Finding the Third Proportional to 475,887 and 700,672.50

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Solution

The third proportional to 475,887 and 700,672.50 is: 1,031,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,887 : 700,672.50 = 700,672.50 : x
  2. Step 2: Convert to fraction form
    475,887/700,672.50 = 700,672.50/x
  3. Step 3: Cross multiply
    475,887x = 700,672.50 × 700,672.50
  4. Step 4: Simplify right side
    475,887x = 490,941,952,256.25
  5. Step 5: Solve for x
    x = 490,941,952,256.25/475,887
  6. Step 6: Final answer
    x = 1,031,635.56

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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.