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Finding the Third Proportional to 302,124 and 640,140

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Solution

The third proportional to 302,124 and 640,140 is: 1,356,327.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,124 : 640,140 = 640,140 : x
  2. Step 2: Convert to fraction form
    302,124/640,140 = 640,140/x
  3. Step 3: Cross multiply
    302,124x = 640,140 × 640,140
  4. Step 4: Simplify right side
    302,124x = 409,779,219,600
  5. Step 5: Solve for x
    x = 409,779,219,600/302,124
  6. Step 6: Final answer
    x = 1,356,327.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.