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Finding the Third Proportional to 341,253 and 742,704.19

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Solution

The third proportional to 341,253 and 742,704.19 is: 1,616,423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,253 : 742,704.19 = 742,704.19 : x
  2. Step 2: Convert to fraction form
    341,253/742,704.19 = 742,704.19/x
  3. Step 3: Cross multiply
    341,253x = 742,704.19 × 742,704.19
  4. Step 4: Simplify right side
    341,253x = 551,609,510,130.04
  5. Step 5: Solve for x
    x = 551,609,510,130.04/341,253
  6. Step 6: Final answer
    x = 1,616,423.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.