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Finding the Third Proportional to 341,548 and 742,160

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Solution

The third proportional to 341,548 and 742,160 is: 1,612,661.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,548 : 742,160 = 742,160 : x
  2. Step 2: Convert to fraction form
    341,548/742,160 = 742,160/x
  3. Step 3: Cross multiply
    341,548x = 742,160 × 742,160
  4. Step 4: Simplify right side
    341,548x = 550,801,465,600
  5. Step 5: Solve for x
    x = 550,801,465,600/341,548
  6. Step 6: Final answer
    x = 1,612,661.96

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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.