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Finding the Third Proportional to 349,320 and 541,051.50

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Solution

The third proportional to 349,320 and 541,051.50 is: 838,018.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,320 : 541,051.50 = 541,051.50 : x
  2. Step 2: Convert to fraction form
    349,320/541,051.50 = 541,051.50/x
  3. Step 3: Cross multiply
    349,320x = 541,051.50 × 541,051.50
  4. Step 4: Simplify right side
    349,320x = 292,736,725,652.25
  5. Step 5: Solve for x
    x = 292,736,725,652.25/349,320
  6. Step 6: Final answer
    x = 838,018.80

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