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Finding the Third Proportional to 343,809.75 and 742,925.25

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Solution

The third proportional to 343,809.75 and 742,925.25 is: 1,605,358.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,809.75 : 742,925.25 = 742,925.25 : x
  2. Step 2: Convert to fraction form
    343,809.75/742,925.25 = 742,925.25/x
  3. Step 3: Cross multiply
    343,809.75x = 742,925.25 × 742,925.25
  4. Step 4: Simplify right side
    343,809.75x = 551,937,927,087.56
  5. Step 5: Solve for x
    x = 551,937,927,087.56/343,809.75
  6. Step 6: Final answer
    x = 1,605,358.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.