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Finding the Third Proportional to 460,629 and 705,525

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Solution

The third proportional to 460,629 and 705,525 is: 1,080,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,629 : 705,525 = 705,525 : x
  2. Step 2: Convert to fraction form
    460,629/705,525 = 705,525/x
  3. Step 3: Cross multiply
    460,629x = 705,525 × 705,525
  4. Step 4: Simplify right side
    460,629x = 497,765,525,625
  5. Step 5: Solve for x
    x = 497,765,525,625/460,629
  6. Step 6: Final answer
    x = 1,080,621.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.