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Finding the Third Proportional to 341,200 and 742,952

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Solution

The third proportional to 341,200 and 742,952 is: 1,617,754.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,200 : 742,952 = 742,952 : x
  2. Step 2: Convert to fraction form
    341,200/742,952 = 742,952/x
  3. Step 3: Cross multiply
    341,200x = 742,952 × 742,952
  4. Step 4: Simplify right side
    341,200x = 551,977,674,304
  5. Step 5: Solve for x
    x = 551,977,674,304/341,200
  6. Step 6: Final answer
    x = 1,617,754.03

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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.