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Finding the Third Proportional to 459,717.75 and 974,722.50

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Solution

The third proportional to 459,717.75 and 974,722.50 is: 2,066,667.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,717.75 : 974,722.50 = 974,722.50 : x
  2. Step 2: Convert to fraction form
    459,717.75/974,722.50 = 974,722.50/x
  3. Step 3: Cross multiply
    459,717.75x = 974,722.50 × 974,722.50
  4. Step 4: Simplify right side
    459,717.75x = 950,083,952,006.25
  5. Step 5: Solve for x
    x = 950,083,952,006.25/459,717.75
  6. Step 6: Final answer
    x = 2,066,667.98

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.