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Finding the Third Proportional to 349,151 and 749,973.50

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Solution

The third proportional to 349,151 and 749,973.50 is: 1,610,936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,151 : 749,973.50 = 749,973.50 : x
  2. Step 2: Convert to fraction form
    349,151/749,973.50 = 749,973.50/x
  3. Step 3: Cross multiply
    349,151x = 749,973.50 × 749,973.50
  4. Step 4: Simplify right side
    349,151x = 562,460,250,702.25
  5. Step 5: Solve for x
    x = 562,460,250,702.25/349,151
  6. Step 6: Final answer
    x = 1,610,936.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.