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Finding the Third Proportional to 342,330 and 730,456.50

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Solution

The third proportional to 342,330 and 730,456.50 is: 1,558,632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,330 : 730,456.50 = 730,456.50 : x
  2. Step 2: Convert to fraction form
    342,330/730,456.50 = 730,456.50/x
  3. Step 3: Cross multiply
    342,330x = 730,456.50 × 730,456.50
  4. Step 4: Simplify right side
    342,330x = 533,566,698,392.25
  5. Step 5: Solve for x
    x = 533,566,698,392.25/342,330
  6. Step 6: Final answer
    x = 1,558,632.60

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.