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Finding the Third Proportional to 470,569.50 and 710,273.81

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Solution

The third proportional to 470,569.50 and 710,273.81 is: 1,072,081.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,569.50 : 710,273.81 = 710,273.81 : x
  2. Step 2: Convert to fraction form
    470,569.50/710,273.81 = 710,273.81/x
  3. Step 3: Cross multiply
    470,569.50x = 710,273.81 × 710,273.81
  4. Step 4: Simplify right side
    470,569.50x = 504,488,888,723.29
  5. Step 5: Solve for x
    x = 504,488,888,723.29/470,569.50
  6. Step 6: Final answer
    x = 1,072,081.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.