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Finding the Third Proportional to 346,610 and 744,804

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Solution

The third proportional to 346,610 and 744,804 is: 1,600,452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,610 : 744,804 = 744,804 : x
  2. Step 2: Convert to fraction form
    346,610/744,804 = 744,804/x
  3. Step 3: Cross multiply
    346,610x = 744,804 × 744,804
  4. Step 4: Simplify right side
    346,610x = 554,732,998,416
  5. Step 5: Solve for x
    x = 554,732,998,416/346,610
  6. Step 6: Final answer
    x = 1,600,452.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.