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Finding the Third Proportional to 470,585.50 and 710,265.75

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Solution

The third proportional to 470,585.50 and 710,265.75 is: 1,072,020.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,585.50 : 710,265.75 = 710,265.75 : x
  2. Step 2: Convert to fraction form
    470,585.50/710,265.75 = 710,265.75/x
  3. Step 3: Cross multiply
    470,585.50x = 710,265.75 × 710,265.75
  4. Step 4: Simplify right side
    470,585.50x = 504,477,435,623.06
  5. Step 5: Solve for x
    x = 504,477,435,623.06/470,585.50
  6. Step 6: Final answer
    x = 1,072,020.78

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Why These Related Problems?

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