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Finding the Third Proportional to 343,535 and 451,746.50

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Solution

The third proportional to 343,535 and 451,746.50 is: 594,043.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,535 : 451,746.50 = 451,746.50 : x
  2. Step 2: Convert to fraction form
    343,535/451,746.50 = 451,746.50/x
  3. Step 3: Cross multiply
    343,535x = 451,746.50 × 451,746.50
  4. Step 4: Simplify right side
    343,535x = 204,074,900,262.25
  5. Step 5: Solve for x
    x = 204,074,900,262.25/343,535
  6. Step 6: Final answer
    x = 594,043.98

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.