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Finding the Third Proportional to 350,319 and 725,550

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Solution

The third proportional to 350,319 and 725,550 is: 1,502,695.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,319 : 725,550 = 725,550 : x
  2. Step 2: Convert to fraction form
    350,319/725,550 = 725,550/x
  3. Step 3: Cross multiply
    350,319x = 725,550 × 725,550
  4. Step 4: Simplify right side
    350,319x = 526,422,802,500
  5. Step 5: Solve for x
    x = 526,422,802,500/350,319
  6. Step 6: Final answer
    x = 1,502,695.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.