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Finding the Third Proportional to 349,929 and 525,210.75

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Solution

The third proportional to 349,929 and 525,210.75 is: 788,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,929 : 525,210.75 = 525,210.75 : x
  2. Step 2: Convert to fraction form
    349,929/525,210.75 = 525,210.75/x
  3. Step 3: Cross multiply
    349,929x = 525,210.75 × 525,210.75
  4. Step 4: Simplify right side
    349,929x = 275,846,331,915.56
  5. Step 5: Solve for x
    x = 275,846,331,915.56/349,929
  6. Step 6: Final answer
    x = 788,292.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.