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Finding the Third Proportional to 344,127 and 738,091.50

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Solution

The third proportional to 344,127 and 738,091.50 is: 1,583,075.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,127 : 738,091.50 = 738,091.50 : x
  2. Step 2: Convert to fraction form
    344,127/738,091.50 = 738,091.50/x
  3. Step 3: Cross multiply
    344,127x = 738,091.50 × 738,091.50
  4. Step 4: Simplify right side
    344,127x = 544,779,062,372.25
  5. Step 5: Solve for x
    x = 544,779,062,372.25/344,127
  6. Step 6: Final answer
    x = 1,583,075.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.