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Finding the Third Proportional to 354,520.13 and 758,875.50

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Solution

The third proportional to 354,520.13 and 758,875.50 is: 1,624,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,520.13 : 758,875.50 = 758,875.50 : x
  2. Step 2: Convert to fraction form
    354,520.13/758,875.50 = 758,875.50/x
  3. Step 3: Cross multiply
    354,520.13x = 758,875.50 × 758,875.50
  4. Step 4: Simplify right side
    354,520.13x = 575,892,024,500.25
  5. Step 5: Solve for x
    x = 575,892,024,500.25/354,520.13
  6. Step 6: Final answer
    x = 1,624,426.89

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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.