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Finding the Third Proportional to 341,388 and 748,082

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Solution

The third proportional to 341,388 and 748,082 is: 1,639,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,388 : 748,082 = 748,082 : x
  2. Step 2: Convert to fraction form
    341,388/748,082 = 748,082/x
  3. Step 3: Cross multiply
    341,388x = 748,082 × 748,082
  4. Step 4: Simplify right side
    341,388x = 559,626,678,724
  5. Step 5: Solve for x
    x = 559,626,678,724/341,388
  6. Step 6: Final answer
    x = 1,639,268.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.