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Finding the Third Proportional to 295,633 and 450,829.50

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Solution

The third proportional to 295,633 and 450,829.50 is: 687,498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,633 : 450,829.50 = 450,829.50 : x
  2. Step 2: Convert to fraction form
    295,633/450,829.50 = 450,829.50/x
  3. Step 3: Cross multiply
    295,633x = 450,829.50 × 450,829.50
  4. Step 4: Simplify right side
    295,633x = 203,247,238,070.25
  5. Step 5: Solve for x
    x = 203,247,238,070.25/295,633
  6. Step 6: Final answer
    x = 687,498.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.