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Finding the Third Proportional to 346,526 and 749,914

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Solution

The third proportional to 346,526 and 749,914 is: 1,622,882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,526 : 749,914 = 749,914 : x
  2. Step 2: Convert to fraction form
    346,526/749,914 = 749,914/x
  3. Step 3: Cross multiply
    346,526x = 749,914 × 749,914
  4. Step 4: Simplify right side
    346,526x = 562,371,007,396
  5. Step 5: Solve for x
    x = 562,371,007,396/346,526
  6. Step 6: Final answer
    x = 1,622,882.58

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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.