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Finding the Third Proportional to 633,345.50 and 980,312

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Solution

The third proportional to 633,345.50 and 980,312 is: 1,517,357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,345.50 : 980,312 = 980,312 : x
  2. Step 2: Convert to fraction form
    633,345.50/980,312 = 980,312/x
  3. Step 3: Cross multiply
    633,345.50x = 980,312 × 980,312
  4. Step 4: Simplify right side
    633,345.50x = 961,011,617,344
  5. Step 5: Solve for x
    x = 961,011,617,344/633,345.50
  6. Step 6: Final answer
    x = 1,517,357.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.