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Finding the Third Proportional to 344,574 and 744,498

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Solution

The third proportional to 344,574 and 744,498 is: 1,608,587.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,574 : 744,498 = 744,498 : x
  2. Step 2: Convert to fraction form
    344,574/744,498 = 744,498/x
  3. Step 3: Cross multiply
    344,574x = 744,498 × 744,498
  4. Step 4: Simplify right side
    344,574x = 554,277,272,004
  5. Step 5: Solve for x
    x = 554,277,272,004/344,574
  6. Step 6: Final answer
    x = 1,608,587.04

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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.