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Finding the Third Proportional to 308,470.50 and 714,042

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Solution

The third proportional to 308,470.50 and 714,042 is: 1,652,851.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,470.50 : 714,042 = 714,042 : x
  2. Step 2: Convert to fraction form
    308,470.50/714,042 = 714,042/x
  3. Step 3: Cross multiply
    308,470.50x = 714,042 × 714,042
  4. Step 4: Simplify right side
    308,470.50x = 509,855,977,764
  5. Step 5: Solve for x
    x = 509,855,977,764/308,470.50
  6. Step 6: Final answer
    x = 1,652,851.66

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.