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Finding the Third Proportional to 349,762.13 and 540,100.13

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Solution

The third proportional to 349,762.13 and 540,100.13 is: 834,018.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,762.13 : 540,100.13 = 540,100.13 : x
  2. Step 2: Convert to fraction form
    349,762.13/540,100.13 = 540,100.13/x
  3. Step 3: Cross multiply
    349,762.13x = 540,100.13 × 540,100.13
  4. Step 4: Simplify right side
    349,762.13x = 291,708,145,025.02
  5. Step 5: Solve for x
    x = 291,708,145,025.02/349,762.13
  6. Step 6: Final answer
    x = 834,018.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.