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Finding the Third Proportional to 632,999.81 and 974,035.13

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Solution

The third proportional to 632,999.81 and 974,035.13 is: 1,498,806.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,999.81 : 974,035.13 = 974,035.13 : x
  2. Step 2: Convert to fraction form
    632,999.81/974,035.13 = 974,035.13/x
  3. Step 3: Cross multiply
    632,999.81x = 974,035.13 × 974,035.13
  4. Step 4: Simplify right side
    632,999.81x = 948,744,424,733.77
  5. Step 5: Solve for x
    x = 948,744,424,733.77/632,999.81
  6. Step 6: Final answer
    x = 1,498,806.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.