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Finding the Third Proportional to 291,937 and 439,201.50

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Solution

The third proportional to 291,937 and 439,201.50 is: 660,752.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,937 : 439,201.50 = 439,201.50 : x
  2. Step 2: Convert to fraction form
    291,937/439,201.50 = 439,201.50/x
  3. Step 3: Cross multiply
    291,937x = 439,201.50 × 439,201.50
  4. Step 4: Simplify right side
    291,937x = 192,897,957,602.25
  5. Step 5: Solve for x
    x = 192,897,957,602.25/291,937
  6. Step 6: Final answer
    x = 660,752.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.