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Finding the Third Proportional to 302,064 and 705,480

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Solution

The third proportional to 302,064 and 705,480 is: 1,647,670.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,064 : 705,480 = 705,480 : x
  2. Step 2: Convert to fraction form
    302,064/705,480 = 705,480/x
  3. Step 3: Cross multiply
    302,064x = 705,480 × 705,480
  4. Step 4: Simplify right side
    302,064x = 497,702,030,400
  5. Step 5: Solve for x
    x = 497,702,030,400/302,064
  6. Step 6: Final answer
    x = 1,647,670.79

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.