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Finding the Third Proportional to 347,871 and 538,240.50

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Solution

The third proportional to 347,871 and 538,240.50 is: 832,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,871 : 538,240.50 = 538,240.50 : x
  2. Step 2: Convert to fraction form
    347,871/538,240.50 = 538,240.50/x
  3. Step 3: Cross multiply
    347,871x = 538,240.50 × 538,240.50
  4. Step 4: Simplify right side
    347,871x = 289,702,835,840.25
  5. Step 5: Solve for x
    x = 289,702,835,840.25/347,871
  6. Step 6: Final answer
    x = 832,788.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.