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Finding the Third Proportional to 240,315,216 and 493,370,268

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Solution

The third proportional to 240,315,216 and 493,370,268 is: 1,012,895,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,315,216 : 493,370,268 = 493,370,268 : x
  2. Step 2: Convert to fraction form
    240,315,216/493,370,268 = 493,370,268/x
  3. Step 3: Cross multiply
    240,315,216x = 493,370,268 × 493,370,268
  4. Step 4: Simplify right side
    240,315,216x = 243,414,221,346,391,808
  5. Step 5: Solve for x
    x = 243,414,221,346,391,808/240,315,216
  6. Step 6: Final answer
    x = 1,012,895,585.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.