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Finding the Third Proportional to 346,004 and 748,870

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Solution

The third proportional to 346,004 and 748,870 is: 1,620,808.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,004 : 748,870 = 748,870 : x
  2. Step 2: Convert to fraction form
    346,004/748,870 = 748,870/x
  3. Step 3: Cross multiply
    346,004x = 748,870 × 748,870
  4. Step 4: Simplify right side
    346,004x = 560,806,276,900
  5. Step 5: Solve for x
    x = 560,806,276,900/346,004
  6. Step 6: Final answer
    x = 1,620,808.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.