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Finding the Third Proportional to 245,311,565 and 540,399,250

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Solution

The third proportional to 245,311,565 and 540,399,250 is: 1,190,450,802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,311,565 : 540,399,250 = 540,399,250 : x
  2. Step 2: Convert to fraction form
    245,311,565/540,399,250 = 540,399,250/x
  3. Step 3: Cross multiply
    245,311,565x = 540,399,250 × 540,399,250
  4. Step 4: Simplify right side
    245,311,565x = 292,031,349,400,562,496
  5. Step 5: Solve for x
    x = 292,031,349,400,562,496/245,311,565
  6. Step 6: Final answer
    x = 1,190,450,802.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.