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Finding the Third Proportional to 470,659.50 and 966,348

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Solution

The third proportional to 470,659.50 and 966,348 is: 1,984,085.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,659.50 : 966,348 = 966,348 : x
  2. Step 2: Convert to fraction form
    470,659.50/966,348 = 966,348/x
  3. Step 3: Cross multiply
    470,659.50x = 966,348 × 966,348
  4. Step 4: Simplify right side
    470,659.50x = 933,828,457,104
  5. Step 5: Solve for x
    x = 933,828,457,104/470,659.50
  6. Step 6: Final answer
    x = 1,984,085.01

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.