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Finding the Third Proportional to 341,862 and 748,146

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Solution

The third proportional to 341,862 and 748,146 is: 1,637,275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,862 : 748,146 = 748,146 : x
  2. Step 2: Convert to fraction form
    341,862/748,146 = 748,146/x
  3. Step 3: Cross multiply
    341,862x = 748,146 × 748,146
  4. Step 4: Simplify right side
    341,862x = 559,722,437,316
  5. Step 5: Solve for x
    x = 559,722,437,316/341,862
  6. Step 6: Final answer
    x = 1,637,275.97

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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.