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Finding the Third Proportional to 342,033 and 742,470

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Solution

The third proportional to 342,033 and 742,470 is: 1,611,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,033 : 742,470 = 742,470 : x
  2. Step 2: Convert to fraction form
    342,033/742,470 = 742,470/x
  3. Step 3: Cross multiply
    342,033x = 742,470 × 742,470
  4. Step 4: Simplify right side
    342,033x = 551,261,700,900
  5. Step 5: Solve for x
    x = 551,261,700,900/342,033
  6. Step 6: Final answer
    x = 1,611,720.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.