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Finding the Third Proportional to 350,330.06 and 470,751.75

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Solution

The third proportional to 350,330.06 and 470,751.75 is: 632,566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,330.06 : 470,751.75 = 470,751.75 : x
  2. Step 2: Convert to fraction form
    350,330.06/470,751.75 = 470,751.75/x
  3. Step 3: Cross multiply
    350,330.06x = 470,751.75 × 470,751.75
  4. Step 4: Simplify right side
    350,330.06x = 221,607,210,128.06
  5. Step 5: Solve for x
    x = 221,607,210,128.06/350,330.06
  6. Step 6: Final answer
    x = 632,566.92

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.