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Finding the Third Proportional to 310,509 and 725,643

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Solution

The third proportional to 310,509 and 725,643 is: 1,695,789.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,509 : 725,643 = 725,643 : x
  2. Step 2: Convert to fraction form
    310,509/725,643 = 725,643/x
  3. Step 3: Cross multiply
    310,509x = 725,643 × 725,643
  4. Step 4: Simplify right side
    310,509x = 526,557,763,449
  5. Step 5: Solve for x
    x = 526,557,763,449/310,509
  6. Step 6: Final answer
    x = 1,695,789.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.