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Finding the Third Proportional to 273,272,574 and 590,089,288

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Solution

The third proportional to 273,272,574 and 590,089,288 is: 1,274,205,320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,272,574 : 590,089,288 = 590,089,288 : x
  2. Step 2: Convert to fraction form
    273,272,574/590,089,288 = 590,089,288/x
  3. Step 3: Cross multiply
    273,272,574x = 590,089,288 × 590,089,288
  4. Step 4: Simplify right side
    273,272,574x = 348,205,367,812,346,944
  5. Step 5: Solve for x
    x = 348,205,367,812,346,944/273,272,574
  6. Step 6: Final answer
    x = 1,274,205,320.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.