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Finding the Third Proportional to 350,324 and 725,560

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Solution

The third proportional to 350,324 and 725,560 is: 1,502,715.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,324 : 725,560 = 725,560 : x
  2. Step 2: Convert to fraction form
    350,324/725,560 = 725,560/x
  3. Step 3: Cross multiply
    350,324x = 725,560 × 725,560
  4. Step 4: Simplify right side
    350,324x = 526,437,313,600
  5. Step 5: Solve for x
    x = 526,437,313,600/350,324
  6. Step 6: Final answer
    x = 1,502,715.53

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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.