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Finding the Third Proportional to 350,346 and 725,598

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Solution

The third proportional to 350,346 and 725,598 is: 1,502,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,346 : 725,598 = 725,598 : x
  2. Step 2: Convert to fraction form
    350,346/725,598 = 725,598/x
  3. Step 3: Cross multiply
    350,346x = 725,598 × 725,598
  4. Step 4: Simplify right side
    350,346x = 526,492,457,604
  5. Step 5: Solve for x
    x = 526,492,457,604/350,346
  6. Step 6: Final answer
    x = 1,502,778.56

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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.