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Finding the Third Proportional to 341,768 and 747,870

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Solution

The third proportional to 341,768 and 747,870 is: 1,636,518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,768 : 747,870 = 747,870 : x
  2. Step 2: Convert to fraction form
    341,768/747,870 = 747,870/x
  3. Step 3: Cross multiply
    341,768x = 747,870 × 747,870
  4. Step 4: Simplify right side
    341,768x = 559,309,536,900
  5. Step 5: Solve for x
    x = 559,309,536,900/341,768
  6. Step 6: Final answer
    x = 1,636,518.16

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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.